LEVITIN-POLYAK WELL-POSEDNESS FOR SET OPTIMIZATION PROBLEMS

被引：0

作者：

Ansari, Qamrul Hasan ^{[1
]}

Hussain, Nasir ^{[1
]}

Sharma, Pradeep Kumar ^{[2
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

[2] Univ Delhi, Dept Math, South Campus, New Delhi, India

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 07期

关键词：

Set optimization problems; set order relations; Levitin-Polyak well-posedness; stability; ORDER RELATIONS; SCALARIZATION; POINTWISE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study different kinds of Levitin-Polyak well-posedness for set optimization problems and their relationships with respect to the set order relations defined by Minkowski difference on the family of bounded sets. Furthermore, by using the Kuratowski measure of noncompactness, we give some characterizations of Levitin-Polyak well-posedness for set optimization problems. Moreover, we establish the relationship between stability and LP well-posedness of set optimization problem by defining approximating solution maps. Several examples are given in support of concepts and results of this paper.

引用

页码：1353 / 1371

页数：19

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