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Viscosity Methods and Split Common Fixed Point Problems for Demicontractive Mappings

Author

Listed:
  • Yaqin Wang

    (Department of Mathematics, Shaoxing University, Shaoxing 312000, China)

  • Xiaoli Fang

    (Department of Mathematics, Shaoxing University, Shaoxing 312000, China)

  • Tae-Hwa Kim

    (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Korea)

Abstract

We, first, propose a new method for solving split common fixed point problems for demicontractive mappings in Hilbert spaces, and then establish the strong convergence of such an algorithm, which extends the Halpern type algorithm studied by Wang and Xu to a viscosity iteration. Above all, the step sizes in this algorithm are chosen without a priori knowledge of the operator norms.

Suggested Citation

  • Yaqin Wang & Xiaoli Fang & Tae-Hwa Kim, 2019. "Viscosity Methods and Split Common Fixed Point Problems for Demicontractive Mappings," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:844-:d:266722
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