V-Prox-Regular Functions in Smooth Banach Spaces. (25th November 2020)

• Record Type: Journal Article
• Authors: Bounkhel, Messaoud; Bachar, Mostafa
• Other Names: Wang Fanglei Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-11-25
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/9465492
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we continue the study of the V -prox-regularity that we have started recently for sets. We define an appropriate concept of the V -prox-regularity for functions in reflexive smooth Banach spaces by adapting the one given in Hilbert spaces. Our main goal is to study the relationship between the V -prox-regularity of a given l.s.c. f and the V -prox-regularity of its epigraph.