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Fixed Point Results in Controlled Fuzzy Metric Spaces with an Application to the Transformation of Solar Energy to Electric Power

Author

Listed:
  • Umar Ishtiaq

    (Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan)

  • Doha A. Kattan

    (Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21589, Saudi Arabia)

  • Khaleel Ahmad

    (Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan)

  • Salvatore Sessa

    (Dipartimento di Architettura, Università di Napoli Federico II, Via Toledo 403, 80121 Napoli, Italy)

  • Farhan Ali

    (Department of Mathematics, COMSATS University Islamabad-Sahiwal Campus, Sahiwal 57000, Pakistan)

Abstract

In this manuscript, we give sufficient conditions for a sequence to be Cauchy in the context of controlled fuzzy metric space. Furthermore, we generalize the concept of Banach’s contraction principle by utilizing several new contraction conditions and prove several fixed point results. Furthermore, we provide a number of non-trivial examples to validate the superiority of main results in the existing literature. At the end, we discuss an important application to the transformation of solar energy to electric power by utilizing differential equations.

Suggested Citation

  • Umar Ishtiaq & Doha A. Kattan & Khaleel Ahmad & Salvatore Sessa & Farhan Ali, 2023. "Fixed Point Results in Controlled Fuzzy Metric Spaces with an Application to the Transformation of Solar Energy to Electric Power," Mathematics, MDPI, vol. 11(15), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3435-:d:1212288
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    References listed on IDEAS

    as
    1. Adrian Nicolae Branga & Ion Marian Olaru, 2022. "Generalized Contractions and Fixed Point Results in Spaces with Altering Metrics," Mathematics, MDPI, vol. 10(21), pages 1-13, November.
    2. Mohammad Al-Khaleel & Sharifa Al-Sharif & Rami AlAhmad, 2023. "On Cyclic Contractive Mappings of Kannan and Chatterjea Type in Generalized Metric Spaces," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    3. Nabil Mlaiki & Hassen Aydi & Nizar Souayah & Thabet Abdeljawad, 2018. "Controlled Metric Type Spaces and the Related Contraction Principle," Mathematics, MDPI, vol. 6(10), pages 1-7, October.
    4. Fahim Uddin & Khalil Javed & Hassen Aydi & Umar Ishtiaq & Muhammad Arshad & Lazim Abdullah, 2021. "Control Fuzzy Metric Spaces via Orthogonality with an Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, April.
    Full references (including those not matched with items on IDEAS)

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