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Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications

Author

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  • Badriah Alamri

    (Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 23218, Saudi Arabia)

Abstract

This paper investigates the existence of common fixed points for mappings satisfying generalized rational type contractive conditions in the framework of bicomplex valued metric spaces. Our findings extend well-established results in the existing literature. As an application of our leading result, we explore the existence and uniqueness of solutions of the Volttera integral equation of the second kind.

Suggested Citation

  • Badriah Alamri, 2024. "Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications," Mathematics, MDPI, vol. 12(11), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1770-:d:1410232
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    References listed on IDEAS

    as
    1. Amer Hassan Albargi & Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application," Mathematics, MDPI, vol. 11(5), pages 1-20, March.
    2. 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.
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