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An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions

Author

Listed:
  • Rajagopalan Ramaswamy

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia)

  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India)

  • Ola A. Ashour Abdelnaby

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia
    Department of Mathematics, Cairo University, Cairo 12613, Egypt)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia)

Abstract

In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces. The proven results are extension and generalisation of some of the literature’s well-known results. We also explore some of the applications to our key results.

Suggested Citation

  • Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3344-:d:915542
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    References listed on IDEAS

    as
    1. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Absar Ul Haq & Imran Abbas Baloch & Fahd Jarad & Abdul Qadeer Khan, 2022. "Common Fixed Point Theorems on Tricomplex Valued Metric Space," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-12, May.
    2. Gunaseelan Mani & Arul Joseph Gnanaprakasam & Yongjin Li & Zhaohui Gu, 2021. "The Existence and Uniquenes Solution of Nonlinear Integral Equations via Common Fixed Point Theorems," Mathematics, MDPI, vol. 9(11), pages 1-15, May.
    3. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application of Urysohn Integral Equation via Complex Partial Metric Space," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Rajagopalan Ramaswamy & Gunaseelan Mani, 2025. "Certain Applications of Fixed Point Results in the Setting of Tricomplex Partial Metric Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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