Well-setness and scalarization in set optimization

被引：20

作者：

Dhingra, Mansi ^{[1
]}

Lalitha, C. S. ^{[2
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Univ Delhi, Dept Math, South Campus,Benito Jaurez Rd, New Delhi 110021, India

来源：

OPTIMIZATION LETTERS | 2016年 / 10卷 / 08期

关键词：

Set optimization problem; Well-setness; Scalarization; Generalized Gerstewitz's function; MINIMIZATION PROBLEMS; VALUED OPTIMIZATION; VECTOR OPTIMIZATION; POSEDNESS;

D O I：

10.1007/s11590-015-0942-z

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 consider a notion of global well-setness for a set optimization problem using the excess function. We give sufficient conditions for well-setness and establish Dontchev-Zolezzi type measure for well-setness. Moreover, we relate this notion with well-setness notion for a scalar problem obtained by using generalized Gerstewitz's function.

引用

页码：1657 / 1667

页数：11

共 15 条

[1]

[Anonymous], 1993, Lecture Notes in Mathematics

[2]

Aubin Jean-Pierre, 2009, SET VALUED ANAL MOD, DOI DOI 10.1007/978-0-8176-4848-0

[3] METRICALLY WELL-SET MINIMIZATION PROBLEMS [J].