實線性空間中Heing向量真有效性和它的標量化.pdf

1、蘇州大學碩士學位論文實線性空間中Heing向量真有效性和它的標量化姓名：范茜申請學位級別：碩士專業(yè)：基礎(chǔ)數(shù)學指導(dǎo)教師：丘京輝20090401HenigvectorialproperefficiencyinreallinearspaceAbstract●，1^●●●ltenigvectorialDroDeretticlencVinreallinearspaceanditsScalarizationsAbstractIntheframewo

2、rkofreallinearspaces，weintroducethreekindsofHenigproperefficientpointsByusingtheHahnBanachseparationtheoremonconvexsetsinreallinearspaces，weestablishthescalarizationtheoremsofthethreekindsofHcnigproperefficientpointsresp

3、ectivelyFromthis，weobtainthescalarizationsonHenigproperefficientsolutionsofvectoroptimizationproblemsinvolvingnearlyconesubconvexlikevector—valuedmapsandset—valuedmapsrespectivelyMoreover，byusingtheHahn—Banachseparationt

4、heoremonproductspaces，wegiveLagrangemultipliertheoremsOilHenigproperefficientsolutionsofvectoroptimizationproblemsinvolvingvector—valuedmapsandset—valuedsetmapswithconstraintManyknownresultshavebeenextendedtoreallinearsp

5、acesAnewconceptofHenigproperefficiencyonlyinvolvingrelativelyalgebricinterior，isintroducedanditsscalarizationisobtainedKeywords：reallinearspaces；Henigproperefficiency；scalarization；Lagrangemul—tipliertheoremIIWrittenbyFa