Higher-order Optimality Conditions and Duality for Approximate Solutions in Non-convex Set-valued Optimization

被引：0

作者：

Guo-lin YU

Tian-tian GONG

机构：

[1] NorthMinzuUniversity

来源：

Acta Mathematicae Applicatae Sinica | 2019年 / 35卷 / 03期

关键词：

studniarski derivatives; optimality conditions; set-valued optimization problem; efficiency; duality;

D O I：

暂无

中图分类号：

O224 [最优化的数学理论];

学科分类号：

070105 ; 1201 ;

摘要：

This paper deals with higher-order optimality conditions and duality theory for approximate solutions in vector optimization involving non-convex set-valued maps. Firstly, under the assumption of near cone-subconvexlikeness for set-valued maps, the higher necessary and sufficient optimality conditions in terms of Studniarski derivatives are derived for local weak approximate minimizers of a set-valued optimization problem.Then, applications to Mond-Weir type dual problem are presented.

引用

页码：620 / 628

页数：9

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