General Ekeland's variational principle for set-valued mappings

被引：0

作者：

Chen, G.Y. ^{[1
]}

Huang, X.X. ^{[2
]}

Hou, S.H. ^{[3
]}

机构：

[1] Institute of Systems Science, Academia Sinica, Beijing

[2] Dept. of Math. and Computer Science, Chongqing Normal University, Chongqing

[3] Department of Applied Mathematics, Hong Kong Polytechnic University, Hong Kong

来源：

Journal of Optimization Theory and Applications | 2000年 / 100卷 / 02期

关键词：

Hausdorff maximality principle; Set-valued optimization; Variational principle;

D O I：

10.1023/a:1004663208905

中图分类号：

学科分类号：

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：13

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