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The Split Common Fixed Point Problem for Quasi-Total Asymptotically Nonexpansive Uniformly Lipschitzian Mappings

Author

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  • Jing Na
  • Lin Wang
  • Zhaoli Ma

Abstract

We introduce an algorithm for solving the split common fixed point problem for quasi-total asymptotically nonexpansive uniformly Lipschitzian mapping in Hilbert spaces. The results presented in this paper improve and extend some recent corresponding results.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:768591
    DOI: 10.1155/2012/768591
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    Cited by:

    1. Cuijie Zhang & Songnian He, 2012. "Strong Convergence Theorems for the Split Common Fixed Point Problem for Countable Family of Nonexpansive Operators," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Yuanheng Wang & Chunjie Wang, 2013. "Convergence of a New Modified Ishikawa Type Iteration for Common Fixed Points of Total Asymptotically Strict Pseudocontractive Semigroups," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Peiyuan Wang & Hy Zhou, 2014. "Strong Convergence Algorithms of the Split Common Fixed Point Problem for Total Quasi‐Asymptotically Pseudocontractive Operators," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. 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).

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