Well-posedness and stability of solutions for set optimization problems

被引：72

作者：

Han, Yu ^{[1
]}

Huang, Nan-jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Peoples R China

来源：

OPTIMIZATION | 2017年 / 66卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Set optimization problem; set-valued mapping; well-posedness; upper semi-continuity; lower semi-continuity; VECTOR EQUILIBRIUM PROBLEMS; VALUED MAPS; LOWER SEMICONTINUITY; CONTINUITY; SCALARIZATION; CONVEXITY;

D O I：

10.1080/02331934.2016.1247270

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, some characterizations for the generalized l-B-well-posedness and the generalized u-B-well-posedness of set optimization problems are given. Moreover, the Hausdorff upper semi-continuity of l-minimal solution mapping and u-minimal solution mapping are established by assuming that the set optimization problem is l-H-well-posed and u-H-well-posed, respectively. Finally, the upper semi-continuity and the lower semi-continuity of solution mappings to parametric set optimization problems are investigated under some suitable conditions.

引用

页码：17 / 33

页数：17

共 34 条

[1] Set-relations and optimality conditions in set-valued maps [J].