Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 325792, 13 pages
Research Article

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

E. U. Ofoedu

Department of Mathematics, Nnamdi Azikiwe University, P.M.B. 5025, Awka, 234-48, Anambra, Nigeria

Received 1 September 2007; Accepted 4 February 2008

Academic Editor: Tomas Dominguez Benavides

Copyright © 2008 E. U. Ofoedu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.