V-Prox-Regular Functions in Smooth Banach Spaces

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 betw...

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Bibliographic Details
Main Authors: Messaoud Bounkhel, Mostafa Bachar
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/9465492