IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3435-d1212288.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3435/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3435/
    Download Restriction: no
    ---><---

    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)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hasanen A. Hammad & Mohra Zayed, 2022. "New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications," Mathematics, MDPI, vol. 10(17), pages 1-18, September.
    2. Nayab Alamgir & Quanita Kiran & Hassen Aydi & Aiman Mukheimer, 2019. "A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-15, May.
    3. Abdullah Eqal Al-Mazrooei & Jamshaid Ahmad, 2022. "Fixed Point Results in Controlled Metric Spaces with Applications," Mathematics, MDPI, vol. 10(3), pages 1-15, February.
    4. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    5. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.
    6. Gunaseelan Mani & Salma Haque & Arul Joseph Gnanaprakasam & Ozgur Ege & Nabil Mlaiki, 2023. "The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
    7. Irshad Ayoob & Ng Zhen Chuan & Nabil Mlaiki, 2023. "Double-Composed Metric Spaces," Mathematics, MDPI, vol. 11(8), pages 1-12, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3435-:d:1212288. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.