Subdifferential Calculus for Set-Valued Mappings and Optimality Conditions for Multiobjective Optimization Problems

被引：0

作者：

Ahmed Taa

机构：

[1] Faculté des Sciences et Techniques de Marrakech,Département de Mathématiques

来源：

Journal of Optimization Theory and Applications | 2019年 / 180卷

关键词：

Set-valued vector optimization; Subdifferential; Optimality conditions; Lagrange/Karush/Kuhn/Tucker multipliers; 90C29; 90C26; 90C46;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work, we provide a generalized formula for the weak subdifferential (resp., for the Benson proper subdifferential) of the sum of two cone-closed and cone-convex set-valued mappings, under the Attouch–Brézis qualification condition. This formula is applied to establish necessary and sufficient optimality conditions in terms of Lagrange/Karush/Kuhn/Tucker multipliers for the existence of the weak (resp., of the Benson proper) efficient solutions of a set-valued vector optimization problem.

引用

页码：428 / 441

页数：13

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