International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 910487, 18 pages
doi:10.1155/2009/910487
Research Article

Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m-Accretive Mappings in Uniformly Convex Banach Spaces

E. U. Ofoedu1 and Y. Shehu2

1Department of Mathematics, Nnamdi Azikiwe University, Awka, Anambra State, Nigeria
2Department of Mathematics, University of Nigeria, Nsukka, Enugu, Nigeria

Received 9 July 2009; Accepted 27 September 2009

Academic Editor: Gelu Popescu

Copyright © 2009 E. U. Ofoedu and Y. Shehu. 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.

Abstract

We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of m-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings. Our theorems extend and improve some important results which are announced recently by various authors.