Approximate Weak Minimal Solutions of Set-Valued Optimization Problems

被引：2
|
作者：
Khoshkhabar-amiranloo, S. [1 ]
机构：
[1] Inst Res Fundamental Sci, Sch Math, Tehran, Iran
来源：
JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA | 2023年 / 11卷 / 03期
关键词：
Set-valued optimization; Approximate weak minimal solutions; Existence theorems; Optimality conditions; Scalarization functions; OPTIMALITY CONDITIONS; VECTOR OPTIMIZATION; SCALARIZATION;
D O I：
10.1007/s40305-022-00401-z
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：
This paper deals with approximate weak minimal solutions of set-valued optimization problems under vector and set optimality criteria. The relationships between various concepts of approximate weak minimal solutions are investigated. Some topological properties and existence theorems of these solutions are given. It is shown that for set-valued optimization problems with upper (outer) cone-semicontinuous objective values or closed objective maps the approximate weak minimal and strictly approximate lower weak minimal solution sets are closed. By using the polar cone and two scalarization processes, some necessary and sufficient optimality conditions in the sense of vector and set criteria are provided.
引用
收藏
页码：673 / 692
页数：20
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