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Common Fixed Point Results in Bicomplex Valued Metric Spaces with Application

Author

Listed:
  • Amer Hassan Albargi

    (Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Amnah Essa Shammaky

    (Department of Mathematics, Faculty of Science, Jazan University, Jazan 45142, Saudi Arabia)

  • Jamshaid Ahmad

    (Department of Mathematics, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

Abstract

The purpose of this paper is to establish common fixed points of six mappings in the context of bicomplex valued metric spaces. In this way, we generalize some previous well-known results from the literature. Moreover, we provide a non-trivial example to demonstrate the authenticity of established outcomes. As an application, we investigate the solution of an Urysohn integral equation by applying our results.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1207-:d:1084704
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    References listed on IDEAS

    as
    1. Marwan Amin Kutbi & Akbar Azam & Jamshaid Ahmad & Cristina Di Bari, 2013. "Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, June.
    2. Humaira & Muhammad Sarwar & G. N. V. Kishore, 2018. "Fuzzy Fixed Point Results For Contractive Mapping with Applications," Complexity, Hindawi, vol. 2018, pages 1-12, January.
    3. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Nawab Hussain, 2014. "On Fuzzy Fixed Points for Fuzzy Maps with Generalized Weak Property," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, May.
    4. Jamshaid Ahmad & Chakkrid Klin-Eam & Akbar Azam, 2013. "Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    5. Chakkrid Klin-eam & Cholatis Suanoom, 2013. "Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, April.
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    Citations

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    Cited by:

    1. Afrah Ahmad Noman Abdou, 2023. "Solving the Fredholm Integral Equation by Common Fixed Point Results in Bicomplex Valued Metric Spaces," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    2. Badriah Alamri, 2024. "Fixed Point Theory in Bicomplex Metric Spaces: A New Framework with Applications," Mathematics, MDPI, vol. 12(11), pages 1-20, June.

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