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Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions

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  • E. E. Chima
  • M. O. Osilike

Abstract

We study the split common fixed point problem (SCFP) for a class of total asymptotically pseudocontractive mappings. We obtain some important properties of our class of mappings including the demiclosedness property and the closedness and convexity of the fixed point set. We then propose an algorithm and prove weak and strong convergence theorems for the approximation of solutions of the SCFP for certain class of these mappings.

Suggested Citation

  • E. E. Chima & M. O. Osilike, 2016. "Split Common Fixed Point Problem for a Class of Total Asymptotic Pseudocontractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnljam:v:2016:y:2016:i:1:n:3435078
    DOI: 10.1155/2016/3435078
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    References listed on IDEAS

    as
    1. S. S. Chang & L. Wang & Y. K. Tang & L. Yang, 2012. "The Split Common Fixed Point Problem for Total Asymptotically Strictly Pseudocontractive Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, December.
    2. Jing Na & Lin Wang & Zhaoli Ma, 2012. "The Split Common Fixed Point Problem for Quasi-Total Asymptotically Nonexpansive Uniformly Lipschitzian Mappings," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, May.
    3. S. S. Chang & L. Wang & Y. K. Tang & L. Yang, 2012. "The Split Common Fixed Point Problem for Total Asymptotically Strictly Pseudocontractive Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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