Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 491583, 15 pages
Research Article

Strong Convergence of a New Iteration for a Finite Family of Accretive Operators

Department of Mathematics, Ningbo University, Zhejiang 315211, China

Received 9 March 2009; Revised 13 May 2009; Accepted 17 May 2009

Academic Editor: Mohamed A. Khamsi

Copyright © 2009 Liang-Gen Hu and Jin-Ping Wang. 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.


The viscosity approximation methods are employed to establish strong convergence of the modified Mann iteration scheme to a common zero of a finite family of accretive operators on a strictly convex Banach space with uniformly Gâteaux differentiable norm. Our work improves and extends various results existing in the current literature.