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孟志青 《应用数学和力学(英文版)》1998,19(1):59-66
I.IntroductionHah-BanachTheoremisanimportantconclusioninthefunctionialanalysis.Ithaspalyedausefulroleinunsmoothanalysisandotherfields,forexample,theexistanceofthegeneralizedsubdifferentialinI2,3,6]hasbeenproved.Inthispaper,weintroducetheconceptoftheK-convexandtheK-sublinearoftheset-valuedmap,whereKisapointedandclosedandconvexconeinlocallyconvextopologicalvectorspace,andweprovethegeneralizedHahn-BanachTheoreminsection11.Weapplyittothestudyoftheexistenceofsubdifferentialfortheset-valuedmapin… 相似文献
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Duality framework on vector optimization problems in a locally convex topological vector space are established by using scalarization with a cone-strongly increasing function.The dualities for the scalar convex composed optimization problems and for general vector optimization problems are studied.A general approach for studying duality in vector optimization problems is presented. 相似文献
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