Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 081493, 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

Copyright © 2006 S. Plubtieng and K. Ungchittrakool. 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 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.