Open Access Research Article

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

Mujahid Abbas1, SafeerHussain Khan2 and JongKyu Kim3*

Author Affiliations

1 Mathematics Department, Lahore University of Management Sciences, Lahore 54792, Pakistan

2 Department of Mathematics and Physics, Qatar University, P.O. Box 2713, Doha, Qatar

3 Department of Mathematics Education, Kyungnam University, Masan, Kyungnam 631-701, South Korea

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Journal of Inequalities and Applications 2008, 2008:548627 doi:10.1155/2008/548627


The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2008/1/548627


Received:26 September 2008
Accepted:22 October 2008
Published:19 November 2008

© 2008 The Author(s).

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 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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