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Application of Fixed Point Result in Complex Valued Extended b -Metric Space

Author

Listed:
  • Amnah Essa Shammaky

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

  • Jamshaid Ahmad

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

Abstract

The aim of the present research work is to investigate the solution of Urysohn integral equation by common fixed point result in the setting of complex valued b -metric space. To obtain the objective, we used a generalized rational contraction involving control functions and a pair of self-mappings. In this way, we generalize some well-known results of literature. Some non-trivial examples are also flourished to demonstrate the innovation of our principal result.

Suggested Citation

  • Amnah Essa Shammaky & Jamshaid Ahmad, 2023. "Application of Fixed Point Result in Complex Valued Extended b -Metric Space," Mathematics, MDPI, vol. 11(24), pages 1-20, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4875-:d:1294235
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    References listed on IDEAS

    as
    1. 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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