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

页码：151 / 164

页数：14

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