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The Split Feasibility Problems for Countable Families of Asymptotically Strict Pseudocontractions

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  • Wei-Qi Deng

Abstract

An up‐to‐date algorithm for solving the split feasibility problem for countable families of asymptotically strict pseudocontractions is introduced in the framework of Hilbert spaces. Our results greatly improve and extend those of other authors whose related research studies are restricted to the situation of at most finitely many such mappings.

Suggested Citation

  • Wei-Qi Deng, 2013. "The Split Feasibility Problems for Countable Families of Asymptotically Strict Pseudocontractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:817943
    DOI: 10.1155/2013/817943
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    References listed on IDEAS

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    1. Shih-Sen Chang & Yeol Je Cho & J. K. Kim & W. B. Zhang & L. Yang, 2012. "Multiple‐Set Split Feasibility Problems for Asymptotically Strict Pseudocontractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Wei-Qi Deng & Peng Bai, 2013. "An Implicit Iteration Process for Common Fixed Points of Two Infinite Families of Asymptotically Nonexpansive Mappings in Banach Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, February.
    3. Wei-Qi Deng & Peng Bai, 2013. "An Implicit Iteration Process for Common Fixed Points of Two Infinite Families of Asymptotically Nonexpansive Mappings in Banach Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    4. Shih-Sen Chang & Yeol Je Cho & J. K. Kim & W. B. Zhang & L. Yang, 2012. "Multiple-Set Split Feasibility Problems for Asymptotically Strict Pseudocontractions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, February.
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