Open Access Research Article

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

S Plubtieng* and K Ungchittrakool

Author Affiliations

Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand

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Fixed Point Theory and Applications 2006, 2006:81493  doi:10.1155/FPTA/2006/81493


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2006/1/81493


Received: 27 September 2005
Revisions received: 5 May 2006
Accepted: 8 May 2006
Published: 6 July 2006

© 2006 Plubtieng and 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.

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.

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