V-Prox-Regular Functions in Smooth Banach Spaces

الملخص EN

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.