<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by DFIN XBRL Schema Document - http://www.dfinsolutions.com/ - on 18-06-2026 10:32:44 AM -->
<!-- Copyright(c) 2026 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
<schema targetNamespace="http://www.bny.com/20260617" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:bmifi="http://www.bny.com/20260617" xmlns:dei="http://xbrl.sec.gov/dei/2025" xmlns:srt-types="http://fasb.org/srt-types/2025" xmlns:deprecated="http://www.xbrl.org/2009/role/deprecated" xmlns:dtr="http://www.xbrl.org/2009/dtr" xmlns:oef="http://xbrl.sec.gov/oef/2025" xmlns:ref="http://www.xbrl.org/2006/ref" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2025" xmlns:oef-pre="http://xbrl.sec.gov/oef-pre/2025" xmlns:oef-lab="http://xbrl.sec.gov/oef-lab/2025" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:country="http://xbrl.sec.gov/country/2025" xmlns:us-roles="http://fasb.org/us-roles/2025" xmlns:enum2="http://xbrl.org/2020/extensible-enumerations-2.0" xmlns:us-types="http://fasb.org/us-types/2025" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dtr-types="http://www.xbrl.org/dtr/type/2024-01-31" xmlns:oef-def="http://xbrl.sec.gov/oef-def/2025" xmlns:negated="http://www.xbrl.org/2009/role/negated" xmlns:xbrldi="http://xbrl.org/2006/xbrldi" xmlns:srt="http://fasb.org/srt/2025" xmlns:oef-sr="http://xbrl.sec.gov/oef-sr/2025" xmlns:srt-roles="http://fasb.org/srt-roles/2025" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:stpr="http://xbrl.sec.gov/stpr/2025" elementFormDefault="qualified">
	<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd"/>
	<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd"/>
	<import namespace="http://xbrl.sec.gov/dei/2025" schemaLocation="https://xbrl.sec.gov/dei/2025/dei-2025.xsd"/>
	<import namespace="http://fasb.org/us-types/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-types-2025.xsd"/>
	<import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>   
	<import namespace="http://xbrl.sec.gov/country/2025" schemaLocation="https://xbrl.sec.gov/country/2025/country-2025.xsd"/>
	<import namespace="http://fasb.org/srt/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd"/>
	<import namespace="http://fasb.org/srt-types/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-types-2025.xsd"/>
	<import namespace="http://xbrl.sec.gov/oef-sr/2025" schemaLocation="https://xbrl.sec.gov/oef/2025/oef-sr-2025.xsd"/>
	<import namespace="http://fasb.org/us-gaap/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd"/>
	<import namespace="http://fasb.org/us-roles/2025" schemaLocation="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd"/>
	<import namespace="http://fasb.org/srt-roles/2025" schemaLocation="https://xbrl.fasb.org/srt/2025/elts/srt-roles-2025.xsd"/>
	<annotation>
		<appinfo>
			<link:linkbase id="lnk">
				<link:arcroleRef arcroleURI="http://xbrl.org/int/dim/arcrole/domain-member" xlink:type="simple" xlink:href="http://www.xbrl.org/2005/xbrldt-2005.xsd#domain-member"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReport" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReport"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportHoldingsDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportLineGraphDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ShareholderReportAverageAnnualReturnDetails"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/ClassOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#ClassOnly"/>
				<link:roleRef roleURI="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists" xlink:type="simple" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-roles-2025.xsd#eedm"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/LargestHoldingOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#LargestHoldingOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other1CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other1CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#AdditionalIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#BroadBasedIndexOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/Other2CategoryOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#Other2CategoryOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/SalesLoadOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#SalesLoadOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/MaturityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#MaturityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/IndustrySectorOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#IndustrySectorOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/CreditQualityOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#CreditQualityOnly"/>
				<link:roleRef roleURI="http://xbrl.sec.gov/oef/role/GeographicRegionOnly" xlink:type="simple" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#GeographicRegionOnly"/>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReport">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000294Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172467Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000295Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172468Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000296Member" order="6.0" />
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportHoldingsDetails">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000294Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172467Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000295Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172468Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000296Member" order="6.0" />   
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ASMLHoldingNVMember" xlink:label="ASMLHoldingNVMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ASMLHoldingNVMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_NestleSAMember" xlink:label="NestleSAMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NestleSAMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ShellPLCMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_SiemensAGMember" xlink:label="SiemensAGMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="SiemensAGMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AstraZenecaPLCMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="RocheHoldingAGMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_NovartisAGMember" xlink:label="NovartisAGMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NovartisAGMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_CommonwealthBankOfAustraliaMember" xlink:label="CommonwealthBankOfAustraliaMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="CommonwealthBankOfAustraliaMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_MitsubishiUFJFinancialGroupIncMember" xlink:label="MitsubishiUFJFinancialGroupIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MitsubishiUFJFinancialGroupIncMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="HSBCHoldingsPLCMember" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClCMember" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MetaPlatformsIncClAMember" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="BerkshireHathawayIncClBMember" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClAMember" order="15.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AppleIncMember" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="17.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="AmazonComIncMember" order="18.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="BroadcomIncMember" order="19.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="NVIDIACorpMember" order="20.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="TeslaIncMember" order="21.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_MolinaHealthcareIncMember" xlink:label="MolinaHealthcareIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MolinaHealthcareIncMember" order="22.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_PrimorisServicesCorpMember" xlink:label="PrimorisServicesCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="PrimorisServicesCorpMember" order="23.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_SemtechCorpMember" xlink:label="SemtechCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="SemtechCorpMember" order="24.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_ElementSolutionsIncMember" xlink:label="ElementSolutionsIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ElementSolutionsIncMember" order="25.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_SanminaCorpMember" xlink:label="SanminaCorpMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="SanminaCorpMember" order="26.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_FormFactorIncMember" xlink:label="FormFactorIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="FormFactorIncMember" order="27.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViaviSolutionsIncMember" xlink:label="ViaviSolutionsIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ViaviSolutionsIncMember" order="28.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_ArganIncMember" xlink:label="ArganIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ArganIncMember" order="29.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViasatIncMember" xlink:label="ViasatIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="ViasatIncMember" order="30.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_MatchGroupIncMember" xlink:label="MatchGroupIncMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="LargestHoldingsDomain" xlink:to="MatchGroupIncMember" order="31.0" />
					<!--GeographicRegionDomain Only presentation and label linkbases-->			 
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IT" xlink:label="IT"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IT" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_JP" xlink:label="JP"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="JP" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_NL" xlink:label="NL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="NL" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_SG" xlink:label="SG"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="SG" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_ES" xlink:label="ES"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="ES" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_SE" xlink:label="SE"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="SE" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_CH" xlink:label="CH"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="CH" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_GB" xlink:label="GB"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="GB" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US" xlink:label="US"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="US" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FR" xlink:label="FR"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="FR" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DE" xlink:label="DE"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="DE" order="12.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_HK" xlink:label="HK"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="HK" order="13.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IL" xlink:label="IL"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="IL" order="14.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DK" xlink:label="DK"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="DK" order="15.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FI" xlink:label="FI"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="FI" order="16.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_AU" xlink:label="AU"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="GeographicRegionDomain" xlink:to="AU" order="17.0" />
					<!--IndustrySectorDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="EnergySectorMember" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="FinancialServicesSectorMember" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="HealthcareSectorMember" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="RealEstateSectorMember" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CommunicationsSectorMember" xlink:label="CommunicationsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="CommunicationsSectorMember" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_UtilitiesSectorMember" xlink:label="UtilitiesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="UtilitiesSectorMember" order="7.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaterialsSectorMember" xlink:label="MaterialsSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="MaterialsSectorMember" order="8.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerDiscretionarySectorMember" xlink:label="ConsumerDiscretionarySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerDiscretionarySectorMember" order="9.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ConsumerStaplesSectorMember" xlink:label="ConsumerStaplesSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="ConsumerStaplesSectorMember" order="10.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrialSectorMember" xlink:label="IndustrialSectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="IndustrialSectorMember" order="11.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_InformationTechnologySectorMember" xlink:label="InformationTechnologySectorMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="IndustrySectorDomain" xlink:to="InformationTechnologySectorMember" order="12.0" />
					<!--CreditQualityDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>	
					<!--ExternalCreditRatingFitchMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingFitchMember" xlink:label="ExternalCreditRatingFitchMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingFitchMember" xbrldt:usable="false" order="1.0"/>
					<!--ExternalCreditRatingMoodysMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingMoodysMember" xlink:label="ExternalCreditRatingMoodysMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingMoodysMember" xbrldt:usable="false" order="2.1"/>
					<!--ExternalCreditRatingStandardPoorsMember Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_ExternalCreditRatingStandardPoorsMember" xlink:label="ExternalCreditRatingStandardPoorsMember"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="ExternalCreditRatingStandardPoorsMember" xbrldt:usable="false" order="3.1"/>
					<!--CreditRatingAMBestDomain Only presentation and label linkbases-->	
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/srt/2025/elts/srt-2025.xsd#srt_CreditRatingAMBestDomain" xlink:label="CreditRatingAMBestDomain"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="CreditQualityDomain" xlink:to="CreditRatingAMBestDomain" xbrldt:usable="false" order="4.1"/>
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportLineGraphDetails">            
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000294Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172467Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000295Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172468Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000296Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
				</link:presentationLink>
				<link:presentationLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ShareholderReportAverageAnnualReturnDetails">            
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000294Member" order="2.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172467Member" order="3.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000295Member" order="4.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000172468Member" order="5.0" />
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:presentationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="ShareClassDomain" xlink:to="C000000296Member" order="6.0" />
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				</link:presentationLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/ClassOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_ShareClassDomain" xlink:label="ShareClassDomain"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000294Member" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000172467Member" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000295Member" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000172468Member" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="ShareClassDomain" xlink:to="C000000296Member" order="5.0"/>
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				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other1CategoryOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory1Domain" xlink:label="OtherCategory1Domain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/Other2CategoryOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_OtherCategory2Domain" xlink:label="OtherCategory2Domain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/LargestHoldingOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_LargestHoldingsDomain" xlink:label="LargestHoldingsDomain"/>
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					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ASMLHoldingNVMember" order="1.0"/>
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					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NestleSAMember" order="2.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ShellPLCMember" order="3.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SiemensAGMember" xlink:label="SiemensAGMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SiemensAGMember" order="4.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AstraZenecaPLCMember" order="5.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="RocheHoldingAGMember" order="6.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NovartisAGMember" xlink:label="NovartisAGMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NovartisAGMember" order="7.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_CommonwealthBankOfAustraliaMember" xlink:label="CommonwealthBankOfAustraliaMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="CommonwealthBankOfAustraliaMember" order="8.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MitsubishiUFJFinancialGroupIncMember" xlink:label="MitsubishiUFJFinancialGroupIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MitsubishiUFJFinancialGroupIncMember" order="9.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="HSBCHoldingsPLCMember" order="10.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClCMember" order="11.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MetaPlatformsIncClAMember" order="12.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="BerkshireHathawayIncClBMember" order="13.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AlphabetIncClAMember" order="14.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AppleIncMember" order="15.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MicrosoftCorpMember" order="16.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="AmazonComIncMember" order="17.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="BroadcomIncMember" order="18.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="NVIDIACorpMember" order="19.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="TeslaIncMember" order="20.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MolinaHealthcareIncMember" xlink:label="MolinaHealthcareIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MolinaHealthcareIncMember" order="21.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_PrimorisServicesCorpMember" xlink:label="PrimorisServicesCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="PrimorisServicesCorpMember" order="22.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SemtechCorpMember" xlink:label="SemtechCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SemtechCorpMember" order="23.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ElementSolutionsIncMember" xlink:label="ElementSolutionsIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ElementSolutionsIncMember" order="24.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SanminaCorpMember" xlink:label="SanminaCorpMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="SanminaCorpMember" order="25.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_FormFactorIncMember" xlink:label="FormFactorIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="FormFactorIncMember" order="26.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViaviSolutionsIncMember" xlink:label="ViaviSolutionsIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ViaviSolutionsIncMember" order="27.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ArganIncMember" xlink:label="ArganIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ArganIncMember" order="28.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViasatIncMember" xlink:label="ViasatIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="ViasatIncMember" order="29.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MatchGroupIncMember" xlink:label="MatchGroupIncMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="LargestHoldingsDomain" xlink:to="MatchGroupIncMember" order="30.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/SalesLoadOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_WithSalesLoadMember" xlink:label="WithSalesLoadMember"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://fasb.org/us-gaap/role/eedm/ExtensibleEnumerationLists">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeCategorizationMember" xlink:label="InvestmentTypeCategorizationMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="NetOtherAssetsAndLiabilitiesMember" order="1.0"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:definitionArc xlink:type="arc" xlink:arcrole="http://xbrl.org/int/dim/arcrole/domain-member" xlink:from="InvestmentTypeCategorizationMember" xlink:to="InvestmentCompaniesMember" order="2.0"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/BroadBasedIndexOnly">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_BroadBasedIndexDomain" xlink:label="BroadBasedIndexDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/AdditionalIndexOnly">              
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_AdditionalIndexDomain" xlink:label="AdditionalIndexDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/MaturityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_MaturityDomain" xlink:label="MaturityDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/IndustrySectorOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_IndustrySectorDomain" xlink:label="IndustrySectorDomain"/>
				</link:definitionLink>
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/CreditQualityOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_CreditQualityDomain" xlink:label="CreditQualityDomain"/>
				</link:definitionLink>
				<!--GeographicRegionOnly use only for STPR-->
				<link:definitionLink xlink:type="extended" xlink:role="http://xbrl.sec.gov/oef/role/GeographicRegionOnly">
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/oef/2025/oef-2025.xsd#oef_GeographicRegionDomain" xlink:label="GeographicRegionDomain"/>
				</link:definitionLink>
				<link:labelLink xlink:type="extended" xlink:role="http://www.xbrl.org/2003/role/link">               
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IT" xlink:label="IT"/>
					<link:label xlink:type="resource" xlink:label="label_IT" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ITALY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IT" xlink:to="label_IT"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_JP" xlink:label="JP"/>
					<link:label xlink:type="resource" xlink:label="label_JP" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">JAPAN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="JP" xlink:to="label_JP"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_NL" xlink:label="NL"/>
					<link:label xlink:type="resource" xlink:label="label_NL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NETHERLANDS</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NL" xlink:to="label_NL"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_SG" xlink:label="SG"/>
					<link:label xlink:type="resource" xlink:label="label_SG" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SINGAPORE</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SG" xlink:to="label_SG"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_ES" xlink:label="ES"/>
					<link:label xlink:type="resource" xlink:label="label_ES" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SPAIN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ES" xlink:to="label_ES"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_SE" xlink:label="SE"/>
					<link:label xlink:type="resource" xlink:label="label_SE" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SWEDEN</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SE" xlink:to="label_SE"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_CH" xlink:label="CH"/>
					<link:label xlink:type="resource" xlink:label="label_CH" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">SWITZERLAND</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CH" xlink:to="label_CH"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_GB" xlink:label="GB"/>
					<link:label xlink:type="resource" xlink:label="label_GB" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UNITED KINGDOM</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="GB" xlink:to="label_GB"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_US" xlink:label="US"/>
					<link:label xlink:type="resource" xlink:label="label_US" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">UNITED STATES</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="US" xlink:to="label_US"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FR" xlink:label="FR"/>
					<link:label xlink:type="resource" xlink:label="label_FR" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">FRANCE</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FR" xlink:to="label_FR"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DE" xlink:label="DE"/>
					<link:label xlink:type="resource" xlink:label="label_DE" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">GERMANY</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DE" xlink:to="label_DE"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_HK" xlink:label="HK"/>
					<link:label xlink:type="resource" xlink:label="label_HK" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">HONG KONG</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HK" xlink:to="label_HK"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_IL" xlink:label="IL"/>
					<link:label xlink:type="resource" xlink:label="label_IL" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ISRAEL</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="IL" xlink:to="label_IL"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_DK" xlink:label="DK"/>
					<link:label xlink:type="resource" xlink:label="label_DK" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">DENMARK</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="DK" xlink:to="label_DK"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_FI" xlink:label="FI"/>
					<link:label xlink:type="resource" xlink:label="label_FI" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">FINLAND</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FI" xlink:to="label_FI"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/country/2025/country-2025.xsd#country_AU" xlink:label="AU"/>
					<link:label xlink:type="resource" xlink:label="label_AU" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">AUSTRALIA</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AU" xlink:to="label_AU"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_EnergySectorMember" xlink:label="EnergySectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_EnergySectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Energy Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="EnergySectorMember" xlink:to="label_EnergySectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_FinancialServicesSectorMember" xlink:label="FinancialServicesSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_FinancialServicesSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Financial Services Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FinancialServicesSectorMember" xlink:to="label_FinancialServicesSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_HealthcareSectorMember" xlink:label="HealthcareSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_HealthcareSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Healthcare Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HealthcareSectorMember" xlink:to="label_HealthcareSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_RealEstateSectorMember" xlink:label="RealEstateSectorMember"/>
					<link:label xlink:type="resource" xlink:label="label_RealEstateSectorMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Real Estate Sector [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RealEstateSectorMember" xlink:to="label_RealEstateSectorMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NetOtherAssetsAndLiabilitiesMember" xlink:label="NetOtherAssetsAndLiabilitiesMember"/>
					<link:label xlink:type="resource" xlink:label="label_NetOtherAssetsAndLiabilitiesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Other Assets and Liabilities [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NetOtherAssetsAndLiabilitiesMember" xlink:to="label_NetOtherAssetsAndLiabilitiesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_InvestmentCompaniesMember" xlink:label="InvestmentCompaniesMember"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompaniesMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Companies [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompaniesMember" xlink:to="label_InvestmentCompaniesMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ASMLHoldingNVMember" xlink:label="ASMLHoldingNVMember"/>
					<link:label xlink:type="resource" xlink:label="label_ASMLHoldingNVMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">ASML Holding NV [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ASMLHoldingNVMember" xlink:to="label_ASMLHoldingNVMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NestleSAMember" xlink:label="NestleSAMember"/>
					<link:label xlink:type="resource" xlink:label="label_NestleSAMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Nestle SA [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NestleSAMember" xlink:to="label_NestleSAMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ShellPLCMember" xlink:label="ShellPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_ShellPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Shell PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ShellPLCMember" xlink:to="label_ShellPLCMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SiemensAGMember" xlink:label="SiemensAGMember"/>
					<link:label xlink:type="resource" xlink:label="label_SiemensAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Siemens AG [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SiemensAGMember" xlink:to="label_SiemensAGMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AstraZenecaPLCMember" xlink:label="AstraZenecaPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_AstraZenecaPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">AstraZeneca PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AstraZenecaPLCMember" xlink:to="label_AstraZenecaPLCMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_RocheHoldingAGMember" xlink:label="RocheHoldingAGMember"/>
					<link:label xlink:type="resource" xlink:label="label_RocheHoldingAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Roche Holding AG [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="RocheHoldingAGMember" xlink:to="label_RocheHoldingAGMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NovartisAGMember" xlink:label="NovartisAGMember"/>
					<link:label xlink:type="resource" xlink:label="label_NovartisAGMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Novartis AG [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NovartisAGMember" xlink:to="label_NovartisAGMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_CommonwealthBankOfAustraliaMember" xlink:label="CommonwealthBankOfAustraliaMember"/>
					<link:label xlink:type="resource" xlink:label="label_CommonwealthBankOfAustraliaMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Commonwealth Bank of Australia [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="CommonwealthBankOfAustraliaMember" xlink:to="label_CommonwealthBankOfAustraliaMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MitsubishiUFJFinancialGroupIncMember" xlink:label="MitsubishiUFJFinancialGroupIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_MitsubishiUFJFinancialGroupIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Mitsubishi UFJ Financial Group Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MitsubishiUFJFinancialGroupIncMember" xlink:to="label_MitsubishiUFJFinancialGroupIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_HSBCHoldingsPLCMember" xlink:label="HSBCHoldingsPLCMember"/>
					<link:label xlink:type="resource" xlink:label="label_HSBCHoldingsPLCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">HSBC Holdings PLC [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="HSBCHoldingsPLCMember" xlink:to="label_HSBCHoldingsPLCMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClCMember" xlink:label="AlphabetIncClCMember"/>
					<link:label xlink:type="resource" xlink:label="label_AlphabetIncClCMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Alphabet Inc Cl C [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AlphabetIncClCMember" xlink:to="label_AlphabetIncClCMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MetaPlatformsIncClAMember" xlink:label="MetaPlatformsIncClAMember"/>
					<link:label xlink:type="resource" xlink:label="label_MetaPlatformsIncClAMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Meta Platforms Inc Cl A [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MetaPlatformsIncClAMember" xlink:to="label_MetaPlatformsIncClAMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_BerkshireHathawayIncClBMember" xlink:label="BerkshireHathawayIncClBMember"/>
					<link:label xlink:type="resource" xlink:label="label_BerkshireHathawayIncClBMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Berkshire Hathaway Inc Cl B [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BerkshireHathawayIncClBMember" xlink:to="label_BerkshireHathawayIncClBMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AlphabetIncClAMember" xlink:label="AlphabetIncClAMember"/>
					<link:label xlink:type="resource" xlink:label="label_AlphabetIncClAMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Alphabet Inc Cl A [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AlphabetIncClAMember" xlink:to="label_AlphabetIncClAMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AppleIncMember" xlink:label="AppleIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_AppleIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Apple Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AppleIncMember" xlink:to="label_AppleIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MicrosoftCorpMember" xlink:label="MicrosoftCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_MicrosoftCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Microsoft Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MicrosoftCorpMember" xlink:to="label_MicrosoftCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_AmazonComIncMember" xlink:label="AmazonComIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_AmazonComIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Amazon com Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AmazonComIncMember" xlink:to="label_AmazonComIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_BroadcomIncMember" xlink:label="BroadcomIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_BroadcomIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Broadcom Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="BroadcomIncMember" xlink:to="label_BroadcomIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_NVIDIACorpMember" xlink:label="NVIDIACorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_NVIDIACorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">NVIDIA Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="NVIDIACorpMember" xlink:to="label_NVIDIACorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_TeslaIncMember" xlink:label="TeslaIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_TeslaIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Tesla Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="TeslaIncMember" xlink:to="label_TeslaIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MolinaHealthcareIncMember" xlink:label="MolinaHealthcareIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_MolinaHealthcareIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Molina Healthcare Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MolinaHealthcareIncMember" xlink:to="label_MolinaHealthcareIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_PrimorisServicesCorpMember" xlink:label="PrimorisServicesCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_PrimorisServicesCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Primoris Services Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="PrimorisServicesCorpMember" xlink:to="label_PrimorisServicesCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SemtechCorpMember" xlink:label="SemtechCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_SemtechCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Semtech Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SemtechCorpMember" xlink:to="label_SemtechCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ElementSolutionsIncMember" xlink:label="ElementSolutionsIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_ElementSolutionsIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Element Solutions Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ElementSolutionsIncMember" xlink:to="label_ElementSolutionsIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_SanminaCorpMember" xlink:label="SanminaCorpMember"/>
					<link:label xlink:type="resource" xlink:label="label_SanminaCorpMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Sanmina Corp [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="SanminaCorpMember" xlink:to="label_SanminaCorpMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_FormFactorIncMember" xlink:label="FormFactorIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_FormFactorIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">FormFactor Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="FormFactorIncMember" xlink:to="label_FormFactorIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViaviSolutionsIncMember" xlink:label="ViaviSolutionsIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_ViaviSolutionsIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Viavi Solutions Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ViaviSolutionsIncMember" xlink:to="label_ViaviSolutionsIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ArganIncMember" xlink:label="ArganIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_ArganIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Argan Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ArganIncMember" xlink:to="label_ArganIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_ViasatIncMember" xlink:label="ViasatIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_ViasatIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Viasat Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="ViasatIncMember" xlink:to="label_ViasatIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_MatchGroupIncMember" xlink:label="MatchGroupIncMember"/>
					<link:label xlink:type="resource" xlink:label="label_MatchGroupIncMember" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Match Group Inc [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="MatchGroupIncMember" xlink:to="label_MatchGroupIncMember"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000294Member" xlink:label="C000000294Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000294Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000294 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000294Member" xlink:to="label_C000000294Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000000294Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Investor Shares</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000294Member" xlink:to="label_C000000294Member_2"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172467Member" xlink:label="C000172467Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000172467Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000172467 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000172467Member" xlink:to="label_C000172467Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000172467Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Class I</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000172467Member" xlink:to="label_C000172467Member_2"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000295Member" xlink:label="C000000295Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000295Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000295 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000295Member" xlink:to="label_C000000295Member"/>
										<link:label xlink:type="resource" xlink:label="label_C000000295Member_2" xlink:role="http://www.xbrl.org/2003/role/terseLabel" xml:lang="en-US">Composite Class</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000295Member" xlink:to="label_C000000295Member_2"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000172468Member" xlink:label="C000172468Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000172468Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000172468 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000172468Member" xlink:to="label_C000172468Member"/>
					<link:loc xlink:type="locator" xlink:href="#bmifi_C000000296Member" xlink:label="C000000296Member"/>
					<link:label xlink:type="resource" xlink:label="label_C000000296Member" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">C000000296 [Member]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="C000000296Member" xlink:to="label_C000000296Member"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentTypeAxis" xlink:label="InvestmentTypeAxis"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentTypeAxis" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Type [Axis]</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentTypeAxis" xlink:to="label_InvestmentTypeAxis" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_AssetsNet" xlink:label="AssetsNet"/>
					<link:label xlink:type="resource" xlink:label="label_AssetsNet" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Net Assets</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="AssetsNet" xlink:to="label_AssetsNet" priority="1"/>
					<link:loc xlink:type="locator" xlink:href="https://xbrl.fasb.org/us-gaap/2025/elts/us-gaap-2025.xsd#us-gaap_InvestmentCompanyPortfolioTurnover" xlink:label="InvestmentCompanyPortfolioTurnover"/>
					<link:label xlink:type="resource" xlink:label="label_InvestmentCompanyPortfolioTurnover" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">Investment Company Portfolio Turnover</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="InvestmentCompanyPortfolioTurnover" xlink:to="label_InvestmentCompanyPortfolioTurnover" priority="1"/>                
					<link:loc xlink:type="locator" xlink:href="https://xbrl.sec.gov/dei/2025/dei-2025.xsd#dei_NoTradingSymbolFlag" xlink:label="dei_NoTradingSymbolFlag"/>
					<link:label xlink:type="resource" xlink:label="label_NoTradingSymbolFlag" xlink:role="http://www.xbrl.org/2003/role/label" xml:lang="en-US">No Trading Symbol Flag</link:label>
					<link:labelArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/concept-label" xlink:from="dei_NoTradingSymbolFlag" xlink:to="label_NoTradingSymbolFlag" priority="1"/>		
				</link:labelLink>
			</link:linkbase>
		</appinfo>
	</annotation>   
	<element name="NetOtherAssetsAndLiabilitiesMember" id="bmifi_NetOtherAssetsAndLiabilitiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="InvestmentCompaniesMember" id="bmifi_InvestmentCompaniesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ASMLHoldingNVMember" id="bmifi_ASMLHoldingNVMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NestleSAMember" id="bmifi_NestleSAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ShellPLCMember" id="bmifi_ShellPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SiemensAGMember" id="bmifi_SiemensAGMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AstraZenecaPLCMember" id="bmifi_AstraZenecaPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="RocheHoldingAGMember" id="bmifi_RocheHoldingAGMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NovartisAGMember" id="bmifi_NovartisAGMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="CommonwealthBankOfAustraliaMember" id="bmifi_CommonwealthBankOfAustraliaMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MitsubishiUFJFinancialGroupIncMember" id="bmifi_MitsubishiUFJFinancialGroupIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="HSBCHoldingsPLCMember" id="bmifi_HSBCHoldingsPLCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AlphabetIncClCMember" id="bmifi_AlphabetIncClCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MetaPlatformsIncClAMember" id="bmifi_MetaPlatformsIncClAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BerkshireHathawayIncClBMember" id="bmifi_BerkshireHathawayIncClBMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AlphabetIncClAMember" id="bmifi_AlphabetIncClAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AppleIncMember" id="bmifi_AppleIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MicrosoftCorpMember" id="bmifi_MicrosoftCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="AmazonComIncMember" id="bmifi_AmazonComIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="BroadcomIncMember" id="bmifi_BroadcomIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="NVIDIACorpMember" id="bmifi_NVIDIACorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="TeslaIncMember" id="bmifi_TeslaIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MolinaHealthcareIncMember" id="bmifi_MolinaHealthcareIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="PrimorisServicesCorpMember" id="bmifi_PrimorisServicesCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SemtechCorpMember" id="bmifi_SemtechCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ElementSolutionsIncMember" id="bmifi_ElementSolutionsIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="SanminaCorpMember" id="bmifi_SanminaCorpMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="FormFactorIncMember" id="bmifi_FormFactorIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ViaviSolutionsIncMember" id="bmifi_ViaviSolutionsIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ArganIncMember" id="bmifi_ArganIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="ViasatIncMember" id="bmifi_ViasatIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="MatchGroupIncMember" id="bmifi_MatchGroupIncMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000294Member" id="bmifi_C000000294Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000172467Member" id="bmifi_C000172467Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000295Member" id="bmifi_C000000295Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000172468Member" id="bmifi_C000172468Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
	<element name="C000000296Member" id="bmifi_C000000296Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" abstract="true" nillable="true" xbrli:periodType="duration"/>
</schema>
