SCALARIZATION AND SEMICONTINUITY OF APPROXIMATE SOLUTIONS TO SET OPTIMIZATION PROBLEMS

被引：0
作者：
Han W. [1 ]
Yu G. [1 ]
机构：
[1] School of Mathematics and Information Sciences, North Minzu University, Yinchuan
来源：
Applied Set-Valued Analysis and Optimization | 2022年 / 4卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Approximate solution; Scalarization; Semicontinuity; Set optimization; Set order relation;
D O I：
10.23952/asvao.4.2022.2.07
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the approximate solutions to set optimization problems in the sense of strict upper set less order relation. First, the concept of scalar approximate solutions is introduced, and its relationship to the approximate weak minimal solutions is proposed. Second, by using the oriented distance function, a scalarization theorem is established for approximate weak minimal solutions. Finally, the upper and lower semicontinuity of approximate weak minimal solution mappings are proved for the parametric set optimization problems. © 2022 Applied Set-Valued Analysis and Optimization.
引用
收藏
页码：239 / 250
页数：11
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