부산대학교 도서관

The aimof 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 problemto be LP well-posed are given. Characterizations of LP well-posedness for a parametric set optimization problem in terms of upper Hausdorff convergence and Painlevé--Kuratowski convergence of sequences of approximate solution sets are also established. [ABSTRACT FROM AUTHOR]