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Weak and Strong Convergence Theorems for Common Attractive Points of Widely More Generalized Hybrid Mappings in Hilbert Spaces

Author

Listed:
  • Panadda Thongpaen

    (Graduate PH.D’s Degree Program in Mathematics Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Attapol Kaewkhao

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Data Science Research Center, Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Narawadee Phudolsitthiphat

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Data Science Research Center, Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Suthep Suantai

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Data Science Research Center, Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Warunun Inthakon

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Data Science Research Center, Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand)

Abstract

In this work, we study iterative methods for the approximation of common attractive points of two widely more generalized hybrid mappings in Hilbert spaces and obtain weak and strong convergence theorems without assuming the closedness for the domain. A numerical example supporting our main result is also presented. As a consequence, our main results can be applied to solving a common fixed point problem.

Suggested Citation

  • Panadda Thongpaen & Attapol Kaewkhao & Narawadee Phudolsitthiphat & Suthep Suantai & Warunun Inthakon, 2021. "Weak and Strong Convergence Theorems for Common Attractive Points of Widely More Generalized Hybrid Mappings in Hilbert Spaces," Mathematics, MDPI, vol. 9(19), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2491-:d:649986
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    References listed on IDEAS

    as
    1. Sy-Ming Guu & Wataru Takahashi, 2013. "Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, June.
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    Cited by:

    1. Chadarat Thongphaen & Warunun Inthakon & Suthep Suantai & Narawadee Phudolsitthiphat, 2022. "Common Attractive Point Results for Two Generalized Nonexpansive Mappings in Uniformly Convex Banach Spaces," Mathematics, MDPI, vol. 10(8), pages 1-18, April.

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