Stability of minimizers of set optimization problems

被引：13

作者：

Gaydu, Michael ^{[1
]}

Geoffroy, Michel H. ^{[1
]}

Jean-Alexis, Celia ^{[1
]}

Nedelcheva, Diana ^{[2
]}

机构：

[1] Univ Antilles Guyane, Dept Math, LAMIA, Pointe a Pitre, Guadeloupe, France

[2] Tech Univ, Dept Math, Varna, Bulgaria

来源：

POSITIVITY | 2017年 / 21卷 / 01期

关键词：

Variational convergence; Gamma-convergence; Relative minimizer; Vector optimization; Set-valued optimization;

D O I：

10.1007/s11117-016-0412-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behavior of sequences of minimization problems in set optimization. More precisely, considering a sequence of set optimization problems converging in some sense to a set optimization problem (P) we investigate the upper and lower convergences of the sets of minimizers of the problems to the set of minimizers of the problem (P).

引用

页码：127 / 141

页数：15