Strong Convergence Theorems for Infinite Countable Nonexpansive Mappings and Image Recovery Problem

Abstract

Abstract. In this paper, we introduce an iterative scheme given by infinite nonexpansive mappings in Banach spaces. We prove strong convergence theorems which are connected with the problem of image recovery. Our results enrich and complement the recent many results.

A Strong Convergence of a Modified Krasnoselskii‐mann Method for Non‐expansive Mappings in Hilbert Spaces

“…For related works, see, e.g., [21,25] and the references therein. Recently, Kim and Xu [9] proposed the following simpler modification of Mann iteration method:…”