Well-setness and scalarization in set optimization

被引：19
|
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.
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页码：1657 / 1667
页数：11
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