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Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces

Author

Listed:
  • Hasanen A. Hammad

    (Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Manuel De la Sen

    (Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain)

Abstract

The purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations, and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. Previous known related results in the literarure and some other known results in the literature.

Suggested Citation

  • Hasanen A. Hammad & Manuel De la Sen, 2019. "Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces," Mathematics, MDPI, vol. 7(9), pages 1-9, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:852-:d:267392
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    References listed on IDEAS

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    1. Anil Kumar Dubey, 2016. "Complex Valued -Metric Spaces and Common Fixed Point Theorems under Rational Contractions," Journal of Complex Analysis, Hindawi, vol. 2016, pages 1-7, June.
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    Cited by:

    1. Amiri, Pari & Samei, Mohammad Esmael, 2022. "Existence of Urysohn and Atangana–Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Muhammad Suhail Aslam & Monica Felicia Bota & Mohammad S. R. Chowdhury & Liliana Guran & Naeem Saleem, 2021. "Common Fixed Points Technique for Existence of a Solution of Urysohn Type Integral Equations System in Complex Valued b -Metric Spaces," Mathematics, MDPI, vol. 9(4), pages 1-18, February.

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