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Approximating Common Fixed Points for a Finite Family of Asymptotically Nonexpansive Mappings Using Iteration Process with Errors Terms

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  • Seyit Temir
  • Adem Kiliçman

Abstract

Let be a real Banach space and a nonempty closed convex subset of . Let be asymptotically nonexpansive mappings with sequence , , and , where is the set of fixed points of . Suppose that , , are appropriate sequences in and , are bounded sequences in such that for . We give defined by The purpose of this paper is to study the above iteration scheme for approximating common fixed points of a finite family of asymptotically nonexpansive mappings and to prove weak and some strong convergence theorems for such mappings in real Banach spaces. The results obtained in this paper extend and improve some results in the existing literature.

Suggested Citation

  • Seyit Temir & Adem Kiliçman, 2013. "Approximating Common Fixed Points for a Finite Family of Asymptotically Nonexpansive Mappings Using Iteration Process with Errors Terms," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, December.
    • Handle: RePEc:hin:jnlaaa:974317
    DOI: 10.1155/2013/974317
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