External and internal stability in set optimization using gamma convergence

被引：1
作者：
Karuna [1 ]
Lalitha, C. S.
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2019年 / 35卷 / 03期
关键词：
Painleve-Kuratowski convergence; Gamma-convergence; domination property; stability; set optimization; WELL-POSEDNESS; SCALARIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main objective of this paper is to investigate the stability of solution sets of perturbed set optimization problems in the decision space as well as in the image space, by perturbing the objective maps. For a sequence of set-valued maps, a notion of gamma convergence is introduced to establish the external and internal stability in terms of Painleve-Kuratowski convergence of sequence of solution sets of perturbed problems under certain compactness assumptions and domination properties.
引用
收藏
页码：393 / 406
页数：14
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