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Common Fixed Point Results For Weakly Compatible Mappings With An Application To Deterministic Fractals

Author

Listed:
  • P. KUMAM

    (KMUTTFixed Point Research Laboratory, Department of Mathematics & KMUTT-Fixed, Point Theory and Applications Research Group (KMUTT-FPTA), Room SCL 802 Fixed Point Laboratory, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126, Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand2Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • G. K. JACOB

    (Department of Mathematics, Bharathidasan University, Trichy 620 024, Tamil Nadu, India)

  • J. Ar. H. ANSARI

    (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

  • M. MARUDAI

    (Department of Mathematics, Bharathidasan University, Trichy 620 024, Tamil Nadu, India)

  • T. SEANGWATTANA

    (Faculty of Science Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus (KMUTNB), 21120 Rayong, Thailand)

Abstract

In this paper, we prove the existence of a common fixed point for generalized weakly Zamfirescu-type mappings. Finally, we give an application to our main result in the fractal space which proves the existence of a common attractor for a new kind of deterministic fractal.

Suggested Citation

  • P. KUMAM & G. K. JACOB & J. Ar. H. ANSARI & M. MARUDAI & T. SEANGWATTANA, 2022. "Common Fixed Point Results For Weakly Compatible Mappings With An Application To Deterministic Fractals," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(06), pages 1-9, September.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:06:n:s0218348x22501110
    DOI: 10.1142/S0218348X22501110
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