Levitin-Polyak Well-Posedness for Parametric Set Optimization Problem
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Published:2022-12-21
Issue:2
Volume:39
Page:511-527
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ISSN:1584-2851
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Container-title:Carpathian Journal of Mathematics
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language:
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Short-container-title:CJM
Author:
TAHU BISWAJIT, ,DHINGRA MANSI,KUMAR SATISH, ,
Abstract
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 Painlev\'{e}$-$Kuratowski convergence of sequences of approximate solution sets are also established.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics
Cited by
1 articles.
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