Theorems of the alternative and optimization with set-valued maps

被引：88

作者：

Yang, XM

Yang, XQ

Chen, GY

机构：

[1] Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China

[2] Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 107卷 / 03期

基金：

中国国家自然科学基金;

关键词：

vector optimization; set-valued maps; generalized convexity; equivalent conditions; theorem of the alternatives; optimality conditions;

D O I：

10.1023/A:1026407517917

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 paper, the concept of generalized cone subconvexlike set-valued maps is presented and a theorem of alternative for the system of generalized inequality-equality set-valued maps is established. By applying the theorem of the alternative and other results, necessary and sufficient optimality conditions for vector optimization problems with generalized cone subconvexlike set-valued maps are obtained.

引用

页码：627 / 640

页数：14

共 14 条

[1]

[Anonymous], 1975, GEOMETRIC FUNCTIONAL

[2]

Aubin J. P., 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0

[3]

Aubin J.-P., 1984, DIFFERENTIAL INCLUSI

[4]

Berge C., 1959, ESPACES TOPOLOGIQUES