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Research Article · Free to read · Published 30 June 2005

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

Olusegun Olawale Owojori

Journal of Mathematics and Statistics, Volume 1, Issue 2, pp. 133–141 · doi.org/10.3844/jmssp.2005.133.141

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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.

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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

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Strong Convergence Theorems for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Smooth Banach SpacesJournal of Mathematics and Statistics · Volume 1, Issue 2 · pp. 133–141 · © Science PublicationsDownload