Ekeland's ε-variational principle for set-valued mappings

被引：46

作者：

Chen, GY ^{[1
]}

Huang, XX ^{[1
]}

机构：

[1] Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 1998年 / 48卷 / 02期

关键词：

set-valued mapping; approximate solution; existence theorem; approximate variational principle;

D O I：

10.1007/s001860050020

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 mappings and provide a sufficient condition for the existence of approximate solutions of set-valued mappings. We obtain an approximate variational principle for set-valued mappings.

引用

页码：181 / 186

页数：6