On set-valued optimization problems with variable ordering structure

被引：38

作者：

Durea, Marius ^{[1
]}

Strugariu, Radu ^{[2
]}

Tammer, Christiane ^{[3
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[2] Gh Asachi Tech Univ, Dept Math & Informat, Iasi 700506, Romania

[3] Univ Halle Wittenberg, Inst Math, D-06099 Halle, Saale, Germany

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2015年 / 61卷 / 04期

关键词：

Nondomination property; Pareto optimization; Variable ordering structure; Openness for sum-multifunction; Necessary optimality conditions; REGULARITY;

D O I：

10.1007/s10898-014-0207-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：

In this paper we introduce and investigate an optimality concept for set-valued optimization problems with variable ordering structure. In our approach, the ordering structure is governed by a set-valued map acting between the same spaces as the objective multifunction. Necessary optimality conditions for the proposed problem are derived in terms of Bouligand and Mordukhovich generalized differentiation objects.

引用

页码：745 / 767

页数：23

共 31 条

[1]

Aubin J.P., 1990, SET VALUED ANAL, DOI 10.1007/978-0-8176-4848-0

[2]

Bao T. Q., VARIATIONAL ANAL PSY

[3] Necessary Nondomination Conditions in Set and Vector Optimization with Variable Ordering Structures [J].