Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 325792, 13 pages
Iterative Approximation of a Common Zero of a Countably Infinite Family of -Accretive Operators in Banach Spaces
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 be a real reflexive and strictly convex Banach space which has
a uniformly Gâteaux differentiable norm and be a closed convex nonempty subset
of . Strong convergence theorems for approximation of a common zero of a
countably infinite family of -accretive mappings from to are proved. Consequently,
we obtained strong convergence theorems for a countably infinite family
of pseudocontractive mappings.