General Ekeland's variational principle for set-valued mappings

被引：38
|
作者：
Chen, GY [1 ]
Huang, XX
Hou, SH
机构：
[1] Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing, Peoples R China
[3] Hong Kong Polytech Univ, Dept Math Appl, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2000年 / 106卷 / 01期
关键词：
set-valued optimization; variational principle; Hausdorff maximality principle;
D O I：
10.1023/A:1004663208905
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, we introduce the concept of approximate solutions for set-valued optimization problems. A sufficient condition for the existence of approximate solutions is obtained. A general Ekeland's variational principle for set-valued mappings in complete ordered metric spaces and complete metric spaces are derived. These results are generalizations of results for vector-valued functions in Refs. 1-4.
引用
收藏
页码：151 / 164
页数：14
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