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On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications

Author

Listed:
  • Shih-sen Chang

    (China Medical University)

  • Jen-Chih Yao

    (China Medical University)

  • Ching-Feng Wen

    (Kaohsiung Medical University
    Kaohsiung Medical University Hospital)

  • Liang-cai Zhao

    (Yibin University)

Abstract

In this paper, we consider the split equality fixed point problem for quasi-pseudo-contractive mappings without a priori knowledge of operator norms in Hilbert spaces, which includes split feasibility problem, split equality problem, split fixed point problem, etc., as special cases. A unified framework for the study of this kind of problems and operators is provided. The results presented in the paper extend and improve many recent results.

Suggested Citation

  • Shih-sen Chang & Jen-Chih Yao & Ching-Feng Wen & Liang-cai Zhao, 2020. "On the Split Equality Fixed Point Problem of Quasi-Pseudo-Contractive Mappings Without A Priori Knowledge of Operator Norms with Applications," Journal of Optimization Theory and Applications, Springer, vol. 185(2), pages 343-360, May.
    • Handle: RePEc:spr:joptap:v:185:y:2020:i:2:d:10.1007_s10957-020-01651-8
    DOI: 10.1007/s10957-020-01651-8
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    References listed on IDEAS

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    1. A. Moudafi, 2011. "Split Monotone Variational Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 150(2), pages 275-283, August.
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