Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 81493, 12 pages
doi:10.1155/FPTA/2006/81493

Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings

S. Plubtieng and K. Ungchittrakool

 Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Received 27 September 2005; Revised 5 May 2006; Accepted 8 May 2006

Abstract

We are concerned with the study of a multistep iterative scheme with errors involving a finite family of nonexpansive nonself-mappings. We approximate the common fixed points of a finite family of nonexpansive nonself-mappings by weak and strong convergence of the scheme in a uniformly convex Banach space. Our results extend and improve some recent results, Shahzad (2005) and many others.