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Control Fuzzy Metric Spaces via Orthogonality with an Application

Author

Listed:
  • Fahim Uddin
  • Khalil Javed
  • Hassen Aydi
  • Umar Ishtiaq
  • Muhammad Arshad
  • Lazim Abdullah

Abstract

In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:5551833
    DOI: 10.1155/2021/5551833
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    Cited by:

    1. 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.

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