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Weak and Strong Convergence Theorems for Strictly Pseudononspreading Mappings and Equilibrium Problem in Hilbert Spaces

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  • Yun He Zhao
  • Shih-sen Chang

Abstract

The purpose of this paper is to propose an iterative algorithm for equilibrium problem and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in Kurokawa and Takahashi (2010). We explored an auxiliary mapping in our theorems and proofs and under suitable conditions, some weak and strong convergence theorems are proved. The results presented in the paper extend and improve some recent results announced by some authors.

Suggested Citation

  • Yun He Zhao & Shih-sen Chang, 2013. "Weak and Strong Convergence Theorems for Strictly Pseudononspreading Mappings and Equilibrium Problem in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:169206
    DOI: 10.1155/2013/169206
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    References listed on IDEAS

    as
    1. Kyung Soo Kim, 2012. "Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, August.
    2. Kyung Soo Kim, 2012. "Approximating Common Fixed Points of Nonspreading‐Type Mappings and Nonexpansive Mappings in a Hilbert Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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