Essential stability in set optimization

被引：5
作者：
Karuna [1 ]
Lalitha, C. S. [2 ]
机构：
[1] Univ Delhi, Dept Math, Delhi, India
[2] Univ Delhi, Dept Math, South Campus, New Delhi, India
来源：
OPTIMIZATION | 2022年 / 71卷 / 07期
关键词：
Set optimization; essential set; minimal essential set; strict quasiconvexity; essentially minimal set; ESSENTIAL COMPONENTS; WELL-POSEDNESS;
D O I：
10.1080/02331934.2020.1836635
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 objective of the paper is to study essential stability in set optimization. Essential sets of efficient and weak efficient solution sets are introduced for a set optimization problem and essential sets are identified for both the solution sets. A characterization of essential sets is given for efficient solution sets. Finally, sufficient conditions are provided for the existence of essential sets in the image space.
引用
收藏
页码：1803 / 1816
页数：14
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