Existence of a fixed point for nonexpansive mappings with closed values
Jack T. Markin · Proceedings of the American Mathematical Society · 1976
Fixed point existence and fixed point stability results are presented for nonexpansive mappings of a Banach space B B into the family of nonempty closed bounded convex subsets of B B , where B B is assumed separable, strictly convex, and reflexive with a weakly continuous duality mapping.