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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Strong Convergence Theorems for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Smooth Banach Spaces

Olusegun Olawale Owojori

Abstract

In this work, we establish strong convergence of the improved modified three-step iteration methods for asymptotically nonexpansive operators in uniformly smooth and convex Banach spaces. Our results generalize the previous results of Schu [10], Osilike and Aniagbosor [5], Xu and Noor [13], as well as Owojori and Imoru [7] among others.

Journal of Mathematics and Statistics
Volume 1 No. 2, 2005, 133-141

DOI: https://doi.org/10.3844/jmssp.2005.133.141

Published On: 30 June 2005

How to Cite: Owojori, O. O. (2005). Strong Convergence Theorems for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Smooth Banach Spaces. Journal of Mathematics and Statistics, 1(2), 133-141. https://doi.org/10.3844/jmssp.2005.133.141

Open AccessCopyright: © 2005 Olusegun Olawale Owojori. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Asymptotically Nonexpansive Mappings
  • Uniformly smooth Banach Spaces
  • Three-step Iteration Methods