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

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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Correspondence to Jong Kyu Kim.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Abbas, M., Khan, S.H. & Kim, J.K. A New One-Step Iterative Process for Common Fixed Points in Banach Spaces. J Inequal Appl 2008, 548627 (2008). https://doi.org/10.1155/2008/548627

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

Keywords

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