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.
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页码：433 / 446
页数：14
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