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).
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页码：127 / 141
页数：15
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