Journal of Guangxi Normal University(Natural Science Edition) ›› 2010, Vol. 28 ›› Issue (4): 62-65.

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Higher Order Optimality Conditions for Benson Proper Efficient Solutions of Set-Valued Optimization

WANG Qi-lin, WANG Lu-yun   

  1. College of Sciences,Chongqing Jiaotong University,Chongqing 400074,China
  • Received:2010-09-04 Published:2023-02-07

Abstract: This paper mainly discusses optimality conditions forBenson proper efficient solutions of constrained set-valued optimization problems.Firstly,the sufficient condition for Benson proper efficient points of a set is obtained.Secondly,under the generalized convexity,the important properties forhigher order epiderivatives of set-valued maps are derived.Finally,higher order necessary and sufficient optimality conditions for Benson proper efficient solutions of constrained set-valued optimization problems are investigated,which generalize the corresponding results of literatures.

Key words: set-valued optimization problems, generalized higherorder epiderivatives, Benson proper efficient solutions, higher order optimalityconditions

CLC Number: 

  • O224
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[1] ZHONG Liming, FAN Jianghua. Connectedness of Weakly Effective Solution Sets for Convex Vector Optimization Problems [J]. Journal of Guangxi Normal University(Natural Science Edition), 2021, 39(3): 62-68.
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