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Convergence Result for Solving the Split Fixed Point Problem with Multiple Output Sets in Nonlinear Spaces

Author

Listed:
  • Maliha Rashid

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Amna Kalsoom

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Amer Hassan Albargi

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Aftab Hussain

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Hira Sundas

    (Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan)

Abstract

We study the split fixed point problem with multiple output sets in nonlinear spaces, particularly in CAT(0) spaces. We modify the existing self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in the settings of generalized structures. We also present the consequences of our main theorem in terms of the split feasibility problem and the split common fixed point problem.

Suggested Citation

  • Maliha Rashid & Amna Kalsoom & Amer Hassan Albargi & Aftab Hussain & Hira Sundas, 2024. "Convergence Result for Solving the Split Fixed Point Problem with Multiple Output Sets in Nonlinear Spaces," Mathematics, MDPI, vol. 12(12), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1825-:d:1413387
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    References listed on IDEAS

    as
    1. Nishu Gupta & Mihai Postolache & Ashish Nandal & Renu Chugh, 2021. "A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm," Mathematics, MDPI, vol. 9(4), pages 1-19, February.
    2. Mujahid Abbas & Yusuf Ibrahim & Abdul Rahim Khan & Manuel De la Sen, 2019. "Split Variational Inclusion Problem and Fixed Point Problem for a Class of Multivalued Mappings in CAT (0) Spaces," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
    3. Huanhuan Cui & Liya Liu, 2021. "Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings," Journal of Mathematics, Hindawi, vol. 2021, pages 1-6, December.
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