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A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings”

Author

Listed:
  • Satit Saejung
  • Suthep Suantai
  • Pongsakorn Yotkaew

Abstract

The purpose of this paper is to give a general and short principle for proving some convergence results of certain types of iterative sequences. A small gap in the paper by Imnang and Suantai (2009) is discussed and corrected. Finally, we prove that the generalized asymptotically quasi‐nonexpansive mappings in the sense of Lan (2006) are nothing but asymptotically quasi‐nonexpansive. Hence several results concerning these mappings become a special case of the known ones.

Suggested Citation

  • Satit Saejung & Suthep Suantai & Pongsakorn Yotkaew, 2009. "A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings”," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:283461
    DOI: 10.1155/2009/283461
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    1. S. Imnang & S. Suantai, 2009. "Common Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi‐Nonexpansive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
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    Cited by:

    1. Pornsak Yatakoat & Suthep Suantai, 2010. "A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).

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    1. Pornsak Yatakoat & Suthep Suantai, 2010. "A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).

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