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Fuzzy Triple Controlled Metric like Spaces with Applications

Author

Listed:
  • Naeem Saleem

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

  • Salman Furqan

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

  • Kinda Abuasbeh

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi Arabia)

  • Muath Awadalla

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuaf 31982, Al Ahsa, Saudi Arabia)

Abstract

In this article, we introduce the concept of a fuzzy triple controlled metric like space in the sense that the self distance may not be equal to one. We have used three functions in our space that generalize fuzzy controlled rectangular, extended fuzzy rectangular, fuzzy b – rectangular and fuzzy rectangular metric like spaces. Various examples are given to justify our definitions and results. As for the topological aspect, we prove a fuzzy triple controlled metric like space is not Hausdorff. We also apply our main result to solve the uniqueness of the solution of a fractional differential equation.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:6:p:1390-:d:1096033
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    References listed on IDEAS

    as
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    4. Damian Słota & Agata Chmielowska & Rafał Brociek & Marcin Szczygieł, 2020. "Application of the Homotopy Method for Fractional Inverse Stefan Problem," Energies, MDPI, vol. 13(20), pages 1-14, October.
    5. Hasanen A. Hammad & Praveen Agarwal & Juan L. G. Guirao, 2021. "Applications to Boundary Value Problems and Homotopy Theory via Tripled Fixed Point Techniques in Partially Metric Spaces," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
    6. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
    7. Thabet Abdeljawad & Nabil Mlaiki & Hassen Aydi & Nizar Souayah, 2018. "Double Controlled Metric Type Spaces and Some Fixed Point Results," Mathematics, MDPI, vol. 6(12), pages 1-10, December.
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