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Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application

Author

Listed:
  • Khalil Javed
  • Fahim Uddin
  • Hassen Aydi
  • Aiman Mukheimer
  • Muhammad Arshad
  • Sami Ullah Khan

Abstract

The aim of this manuscript is to initiate the study of the Banach contraction in R-fuzzy b-metric spaces and discuss some related fixed point results to ensure the existence and uniqueness of a fixed point. A nontrivial example is imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the provided results, an application is presented to solve the first kind of a Fredholm-type integral equation.

Suggested Citation

  • Khalil Javed & Fahim Uddin & Hassen Aydi & Aiman Mukheimer & Muhammad Arshad & Sami Ullah Khan, 2021. "Ordered-Theoretic Fixed Point Results in Fuzzy b-Metric Spaces with an Application," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, February.
    • Handle: RePEc:hin:jjmath:6663707
    DOI: 10.1155/2021/6663707
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    Cited by:

    1. Maliha Rashid & Naeem Saleem & Rabia Bibi & Reny George, 2022. "Solution of Integral Equations Using Some Multiple Fixed Point Results in Special Kinds of Distance Spaces," Mathematics, MDPI, vol. 10(24), pages 1-17, December.

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