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：
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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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