Stability in vector-valued and set-valued optimization

被引：56

作者：

Huang, XX ^{[1
]}

机构：

[1] Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing 400047, Peoples R China

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2000年 / 52卷 / 02期

关键词：

convergence of set sequence; Mosco convergence; Painleve-Kuratowski convergence; cone extremization; stabililty;

D O I：

10.1007/s001860000085

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 discuss the stability of the sets of efficient points of vector-valued and set-valued optimization problems when the data (E-n, f(n)) (resp. (E-n, F-n)) of the approximate problems converge to the data (E, f) (resp. (E, F)) of the original problem in the sense of Painleve-Kuratowski or Mosco. Our results improve and generalize those obtained by Attouch and Riahi in Section 5 in [1].

引用

页码：185 / 193

页数：9

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