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

页码：1991 / 2005

页数：15

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