Robustness of Mann Type Algorithm with Perturbed Mapping for Nonexpansive Mappings in Banach Spaces
LC Ceng, Yeong Cheng Liou, JC Yao · Fixed Point Theory and Applications · 2010
Abstract The purpose of this paper is to study the robustness of Mann type algorithm in the sense that approximately perturbed mapping does not alter the convergence of Mann type algorithm. It is proven that Mann type algorithm with perturbed mapping "Equation missing" remains convergent in a Banach space setting where "Equation missing", "Equation missing" a nonexpansive mapping, "Equation missing", "Equation missing", errors and "Equation missing" a strongly accretive and strictly pseudocontractive mapping.