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Solution of Integral Equations Using Some Multiple Fixed Point Results in Special Kinds of Distance Spaces

Author

Listed:
  • Maliha Rashid

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Naeem Saleem

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

  • Rabia Bibi

    (Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan)

  • Reny George

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia)

Abstract

In this paper, we explore some extensions of multiple fixed point results for various distance spaces such as s -distance space, s , q -distance space, and balanced distance space. Some examples are also discussed for the elaboration of these generalized structures. An application of our result that demonstrates the existence of a unique solution of a system of integral equations is also provided.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4707-:d:1000403
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    References listed on IDEAS

    as
    1. 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.
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