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数学物理学报(A辑) 2007
The Optimality Conditions of Set-valued Vector Optimization on Super Efficiency
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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.