Open Access

A New One-Step Iterative Process for Common Fixed Points in Banach Spaces

Journal of Inequalities and Applications20082008:548627

https://doi.org/10.1155/2008/548627

Received: 26 September 2008

Accepted: 22 October 2008

Published: 19 November 2008

Abstract

We introduce a new one-step iterative process and use it to approximate the common fixed points of two asymptotically nonexpansive mappings through some weak and strong convergence theorems. Our process is computationally simpler than the processes currently being used in literature for the purpose.

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Authors’ Affiliations

(1)
Mathematics Department, Lahore University of Management Sciences
(2)
Department of Mathematics and Physics, Qatar University
(3)
Department of Mathematics Education, Kyungnam University

Copyright

© Mujahid Abbas et al. 2008

This article is published under license to BioMed Central Ltd. 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.