Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces

被引：8

作者：

Zhou, Zhi-Ang ^{[1
]}

Yang, Xin-Min ^{[2
]}

Peng, Jian-Wen ^{[2
]}

机构：

[1] Chongqing Univ Technol, Dept Appl Math, Chongqing 400054, Peoples R China

[2] Chongqing Normal Univ, Sch Math, Chongqing 400047, Peoples R China

来源：

OPTIMIZATION | 2014年 / 63卷 / 03期

关键词：

relative algebraic interior; generalized cone subconvexlikeness; set-valued map; alternative theorem; optimality conditions; 90C26; 90C29; 90C30; VECTOR OPTIMIZATION; PROPER EFFICIENCY; MAPS; WEAK; THEOREM;

D O I：

10.1080/02331934.2012.656117

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this article, firstly, a generalized cone subconvexlike set-valued map involving the relative algebraic interior is introduced in ordered linear spaces. Secondly, some properties of a generalized cone subconvexlike set-valued map are investigated. Finally, the optimality conditions of set-valued optimization problem are established.

引用

页码：433 / 446

页数：14

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