Global Well-Posedness in Set Optimization. (26th October 2021)

• Record Type: Journal Article
• Authors: Miholca, Mihaela
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 14(2021)
• Page Start: 1700
• Page End: 1717
• Publication Date: 2021-10-26
• Subjects: Generalized convexity -- generalized e-well-posedness -- generalized M-well-posedness -- global well-posedness -- M-well-posedness -- set optimization problem -- the lower set order relation; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1983594
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this paper we introduce and study two concepts of global well-posedness for set optimization problems in Hausdorff topological vector spaces. Some relationships among these notions and generalized e -well-posedness concept already existent in the literature are established. Sufficient conditions are also given in order to guarantee global well-posedness. Our notions and results extend similar concepts and results established for set optimization problems in metric spaces.