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A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces

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  • Chuan Ding
  • Jing Quan

Abstract

Demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors.

Suggested Citation

  • Chuan Ding & Jing Quan, 2012. "A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:127851
    DOI: 10.1155/2012/127851
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    References listed on IDEAS

    as
    1. Xiaolong Qin & Jong Kyu Kim & Tianze Wang, 2011. "On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Xiaolong Qin & Jong Kyu Kim & Tianze Wang, 2011. "On the Convergence of Implicit Iterative Processes for Asymptotically Pseudocontractive Mappings in the Intermediate Sense," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-18, April.
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