Convergence of almost-orbits of nonexpansive semigroups in Banach spaces
Anthony To‐Ming Lau, Koji Nishiura, Wataru Takahashi · Proceedings of the American Mathematical Society · 2007
The purpose of this paper is to show that the study of mean ergodic theorems for almost-orbits of semigroups of nonexpansive mappings on closed convex subsets of a Banach space can be reduced to the study of orbits for semigroups of nonexpansive mappings. This provides a unified approach to various mean ergodic theorems for almost-orbits in the literature and new applications.