Nonconvex vector optimization of set-valued mappings

被引：48
作者：
Li, SJ
Yang, XQ [1 ]
Chen, GY
机构：
[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
[2] Chongqing Univ, Coll Sci, Dept Math & Appl Math, Chongqing 400045, Peoples R China
[3] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 283卷 / 02期
基金：
中国国家自然科学基金;
关键词：
nonconvex optimatity; set-valued mapping; minimal solution; Gerstewitz's nonconvex separation functional;
D O I：
10.1016/S0022-247X(02)00410-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：337 / 350
页数：14
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