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
收藏
页码：151 / 164
页数：13
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