A note on semicontinuity of the solution mapping for parametric set optimization problems

被引：10

作者：

Preechasilp, Pakkapon ^{[1
]}

Wangkeeree, Rabian ^{[2
]}

机构：

[1] Pibulsongkram Rajabhat Univ, Fac Educ, Program Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

来源：

OPTIMIZATION LETTERS | 2019年 / 13卷 / 05期

关键词：

Set optimization problem; Solution mapping; Semicontinuity;

D O I：

10.1007/s11590-018-1363-6

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：

The present work is devoted to studying the stability of a parametric set optimization problem. In particular, based on the partial order relation on the family of nonempty bounded sets defined by Karaman et al. (Positivity 22(3):783-802, 2018), we give some sufficient conditions for the upper semicontinuity, lower semicontinuity, and closedness of the solution mapping to a parametric set optimization problem.

引用

页码：1085 / 1094

页数：10

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