The stability and extended well-posedness of the solution sets for set optimization problems via the Painlevé–Kuratowski convergence

被引：1
作者：
Yu Han
Kai Zhang
Nan-jing Huang
机构：
[1] Jiangxi University of Finance and Economics,School of Statistics
[2] Sichuan University,Department of Mathematics
来源：
Mathematical Methods of Operations Research | 2020年 / 91卷
关键词：
Set optimization problem; Painlevé–Kuratowski convergence; Stability; Extended well-posedness; 49J40; 49K40; 90C31;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we obtain the Painlevé–Kuratowski upper convergence and the Painlevé–Kuratowski lower convergence of the approximate solution sets for set optimization problems with the continuity and convexity of objective mappings. Moreover, we discuss the extended well-posedness and the weak extended well-posedness for set optimization problems under some mild conditions. We also give some examples to illustrate our main results.
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页码：175 / 196
页数：21
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