Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations. (4th July 2022)

• Record Type: Journal Article
• Authors: Peng, Zai-Yun; Zhao, Yun-Bin; Yiu, Ka Fai Cedric; Zhou, Ya-Cong
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 9(2022)
• Page Start: 1027
• Page End: 1049
• Publication Date: 2022-07-04
• Subjects: Hausdorff continuity -- Painlevé-Kuratowski convergence -- semi-infinite vector optimization problem -- weak efficient solution; 49K40 -- 90C29 -- 90C31; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2077758
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: This paper aims to study the stability of a class of semi-infinite vector optimization problems (SVOP) under functional perturbations. By using an important hypothesis H h ( p 0 ), a necessary and sufficient condition of Hausdorff continuity for weak efficient solution mappings and certain sufficient conditions for Painlevé-Kuratowski convergence of weak efficient solution sets for SVOP are established under the perturbations of both constraint sets and objective functions.