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  • Research Article
  • Open Access

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

Journal of Inequalities and Applications20082008:548627

  • Received: 26 September 2008
  • Accepted: 22 October 2008
  • Published:


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.


  • Banach Space
  • Iterative Process
  • Convergence Theorem
  • Nonexpansive Mapping
  • Strong Convergence

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Authors’ Affiliations

Mathematics Department, Lahore University of Management Sciences, Lahore, 54792, Pakistan
Department of Mathematics and Physics, Qatar University, P.O. Box 2713, Doha, Qatar
Department of Mathematics Education, Kyungnam University, Masan, Kyungnam, 631-701, South Korea


© 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.