Set optimization by means of variable order relations

被引：17
作者：
Koebis, Elisabeth [1 ]
机构：
[1] Univ Erlangen Nurnberg, Dept Math, Erlangen, Germany
来源：
OPTIMIZATION | 2017年 / 66卷 / 12期
关键词：
Set optimization; variable ordering structures; cone-valued map; vectorization; MINTY VARIATIONAL PRINCIPLE; OPTIMALITY CONDITIONS; MAXIMIZATIONS; INEQUALITIES; DUALITY;
D O I：
10.1080/02331934.2016.1172226
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：
We introduce several variable order relations to compare sets in a linear topological space and we consider set optimization problems equipped with these variable ordering structures. By considering a set approach, we introduce characterizations for optimal solutions and we provide a kind of vectorization result to obtain solutions of set optimization problems equipped with the introduced variable order relations.
引用
收藏
页码：1991 / 2005
页数：15
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