Characterizations of the Set Less Order Relation in Nonconvex Set Optimization

被引：2
|
作者：
Jahn, Johannes [1 ]
机构：
[1] Univ Erlangen Nurnberg, Dept Math, Erlangen, Germany
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2022年 / 193卷 / 1-3期
关键词：
Set less order relation; Set optimization; Necessary conditions; SCALARIZATION;
D O I：
10.1007/s10957-021-01985-x
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：
For nonconvex set optimization problems based on the set less order relation, this paper presents characterizations of optimal sets and gives necessary conditions for set inequalities and non-optimal sets using directional derivatives. For specific order cones, the directional derivatives of known functionals describing the negative cones are also given.
引用
收藏
页码：523 / 544
页数：22
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