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Solving Integral Equation and Homotopy Result via Fixed Point Method

Author

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  • Badriah Alamri

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

Abstract

The aim of the present research article is to investigate the existence and uniqueness of a solution to the integral equation and homotopy result. To achieve our objective, we introduce the notion of ( α , η , ψ )-contraction in the framework of F -bipolar metric space and prove some fixed point results for covariant and contravariant mappings. Some coupled fixed point results in F -bipolar metric space are derived as outcomes of our principal theorems. A non-trivial example is also provided to validate the authenticity of the established results.

Suggested Citation

  • Badriah Alamri, 2023. "Solving Integral Equation and Homotopy Result via Fixed Point Method," Mathematics, MDPI, vol. 11(21), pages 1-19, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4408-:d:1266440
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    References listed on IDEAS

    as
    1. Yang, Xuehua & Wu, Lijiao & Zhang, Haixiang, 2023. "A space-time spectral order sinc-collocation method for the fourth-order nonlocal heat model arising in viscoelasticity," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    2. G. N. V. Kishore & K. P. R. Rao & A. Sombabu & R. V. N. S. Rao, 2019. "Related Results to Hybrid Pair of Mappings and Applications in Bipolar Metric Spaces," Journal of Mathematics, Hindawi, vol. 2019, pages 1-7, May.
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