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OALib Journal期刊
ISSN: 2333-9721
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The Optimality Conditions of Set-valued Vector Optimization on Super Efficiency
超有效元意义下集值优化的最优性条件

Keywords: Set-valued optimization,Optimality conditions,Super efficient solution,Contingent-epiderivative
集值优化
,最优性条件,超有效解,上图相依导数

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Abstract:

This paper deals with Fritz-John and Kuhn-Tucker conditions of the set-valued optimization in the sense of super efficiency in Hausdorff locally convex vector space. First the authors introduce the concept of lower semidifferentiability and then give the Fritz-John condition and Kuhn-Tucker condition. Finally the authors obtain the sufficient conditions of set-valued optimization problems on super efficiency.

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