Iterative Approximation of a Common Zero of a Countably Infinite Family of m-Accretive Operators in Banach Spaces

Abstract

Let E be a real reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and C be a closed convex nonempty subset of E. Strong convergence theorems for approximation of a common zero of a countably infinite family of m-accretive mappings from C to E are proved. Consequently, we obtained strong convergence theorems for a countably infinite family of pseudocontractive mappings.