On Set Containment Characterizations for Sets Described by Set-Valued Maps with Applications

被引：0

作者：

Nithirat Sisarat

Rabian Wangkeeree

Gue Myung Lee

机构：

[1] Naresuan University,Department of Mathematics, Faculty of Science

[2] Naresuan University,Research center for Academic Excellence in Mathematics

[3] Pukyong National University,Department of Applied Mathematics

来源：

Journal of Optimization Theory and Applications | 2020年 / 184卷

关键词：

Set containment; Convexity of set-valued maps; Set-valued optimization; Optimality conditions; 54C60; 52A41; 49J52; 90C46;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, dual characterizations of the containment of two sets involving convex set-valued maps are investigated. These results are expressed in terms of the epigraph of a conjugate function of infima associated with corresponding set-valued maps. As an application, we establish characterizations of weak and proper efficient solutions of set-valued optimization problems in the sense of vector criteria.

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页码：824 / 841

页数：17

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