Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 491583, 15 pages
doi:10.1155/2009/491583

Strong convergence of a new iteration for a finite family of accretive operators

Liang-Gen Hu and Jin-Ping Wang

Department of Mathematics, Ningbo University, Zhejiang 315211, China

Abstract

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.