UNIFIED OPTIMALITY CONDITIONS FOR SET-VALUED OPTIMIZATIONS

被引：1

作者：

Li, Geng-Hua ^{[1
]}

Li, Sheng-Jie ^{[1
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2019年 / 15卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Set-valued optimization problem; optimality condition; image space analysis; tangent cone; generalized derivative; CONTINGENT EPIDERIVATIVES; DUALITY-THEORY;

D O I：

10.3934/jimo.2018087

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is devoted to the study of unified optimality conditions for constrained set-valued optimization problems via image space analysis. Necessary and sufficient optimality conditions are given in terms of tangent cones of extended image set. By exploiting such results, we analyse the optimality conditions employing different generalized derivatives.

引用

页码：1101 / 1116

页数：16

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