| On Optimality Condition for Vector Optimization Based on Convex Set-Valued Mapping |
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| 作者姓名： | YUDA HU |
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| 作者单位： | YUDA HU(Dept. Of Applied Math.，Shanghai Jiao Tong University，Shanghai，200030)ZHIQING MENG(Dept. of Computer Science，Xiang Tan University，Hanan，411105) |
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| 摘 要： | 1.IntroductionTheoptimalityconditionsofmathematicalprogrammingisaveryimportantsubjectbecausetLeyprovideausefulanalyticaltoolforstudingthedualitytheoryandnonlinearprogrammingalgoirthms.Inrecelltyears,someauthorshavebeguntostudytheoptimalityconditionsforvectoroptimizationproblemofset-valuedmapping,suchas4]51.Inthispaperlwedefinetheconceptofcone--weaklyefficientsubdifferentialofset-valuedmappinginthecaseofgeneralpartiallyorderedlocallyconvextopologicalvectorspaces.Thecone-weaklysubdifferential…
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On Optimality Condition for Vector Optimization Based on Convex Set-Valued Mapping |
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| YUDA HU.On Optimality Condition for Vector Optimization Based on Convex Set-Valued Mapping[J].OR Transactions,1998(4). |
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| Authors: | YUDA HU |
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| Abstract: | In this paper, concepts such as cone-weakly efficient subdifferential and subgradientwith respect to set-valued mapping in a locally convex topological vector space are to beintroduced. And a number of the necessary and sufficient conditions for the cone-weaklyefficient solutions of vector optimization problem based on convex set-valued mapping arethen to be established. |
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| Keywords: | Set-valued mapping cone-weakly efficient subgradient cone-weakly efficient subdifferential cone-weakly efficient solution Fritz John condition |
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