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An Application of Urysohn Integral Equation via Complex Partial Metric Space

Author

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  • Rajagopalan Ramaswamy

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia)

  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India)

  • Ola A. Ashour Abdelnaby

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia
    Department of Mathematics, Cairo University, Cairo 12613, Egypt)

  • Stojan Radenović

    (Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrad, Serbia)

Abstract

Metric fixed point theory has vast applications in various domain areas, as it helps in finding analytical solutions under various contractive conditions, including non-linear integral-type contractions. In our present work, we have established fixed point results in the setting of complex valued partial metric space. Our results extend the results proven in literature. Using our main result, we have provided an application to find the solution to the Urysohn-type integral equation.

Suggested Citation

  • Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application of Urysohn Integral Equation via Complex Partial Metric Space," Mathematics, MDPI, vol. 10(12), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2019-:d:836552
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    References listed on IDEAS

    as
    1. Fahad Sameer Alshammari & K. P. Reshma & Rajagopalan R. & Reny George & Naeem Saleem, 2021. "Generalised Presic Type Operators in Modular Metric Space and an Application to Integral Equations of Caratheodory Type Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-20, October.
    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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    Citations

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    Cited by:

    1. V. Lukianenko & M. Kozlova & V. Belozub, 2023. "Application of Wavelet Transform to Urysohn-Type Equations," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    2. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Stojan Radenović, 2022. "An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions," Mathematics, MDPI, vol. 10(18), pages 1-15, September.
    3. Mohamed Jleli & Bessem Samet, 2023. "On Some Inequalities Involving Generalized Distance Functions," Mathematics, MDPI, vol. 11(5), pages 1-13, February.

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