Beschreibung:
AbstractIn 1965, Kirk proved that if "Equation missing" is a nonempty weakly compact convex subset of a Banach space with normal structure, then every nonexpansive mapping "Equation missing" has a fixed point. The purpose of this paper is to outline various generalizations of Kirk's fixed point theorem to semigroup of nonexpansive mappings and for Banach spaces associated to a locally compact group.