paper

Generic Convergence of Sequences of Successive Approximations in Banach Spaces

arXiv:1903.10924

Abstract

We study the generic behavior of the method of successive approximations for set-valued mappings in Banach spaces. We consider, in particular, the case of those set-valued mappings which are defined by pairs of nonexpansive mappings and give a positive answer to a question raised by Francesco S. de Blasi.

18 pages