Levitin-Polyak Well-Posedness for Parametric Set Optimization Problem

被引：1
|
作者：
Tahu, Biswajit [1 ]
Dhingra, Mansi [1 ]
Kumar, Satish [1 ]
Garg, Pankaj Kumar [2 ]
机构：
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] Univ Delhi, Dept Math, Rajdhani Coll, New Delhi 110015, India
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2023年 / 39卷 / 02期
关键词：
Parametric set optimization problem; l-weak minimal solution; Levitin-Polyak well-posedness; Upper Hausdorff convergence; Painleve-Kuratowski convergence; SCALARIZATION; CONVEXITY; POINTWISE; STABILITY;
D O I：
10.37193/CJM.2023.02.12
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to introduce two notions of Levitin-Polyak (LP in short) well-posedness for a parametric set optimization problem, a pointwise and a global notion. Necessary and sufficient conditions for a parametric set optimization problem to be LP well-posed are given. Characterizations of LP well-posedness for a parametric set optimization problem in terms of upper Hausdorff convergence and Painleve-Kuratowski convergence of sequences of approximate solution sets are also established.
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页码：511 / 527
页数：17
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