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Common Fixed Points Technique for Existence of a Solution of Urysohn Type Integral Equations System in Complex Valued b -Metric Spaces

Author

Listed:
  • Muhammad Suhail Aslam

    (Department of Mathematics and Statistics, Faculty of Science, University of Lahore, Lahore 54000, Pakistan
    These authors contributed equally to this work.)

  • Monica Felicia Bota

    (Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

  • Mohammad S. R. Chowdhury

    (Department of Mathematics and Statistics, Faculty of Science, University of Lahore, Lahore 54000, Pakistan
    These authors contributed equally to this work.)

  • Liliana Guran

    (Department of Pharmaceutical Sciences, Faculty of Pharmacy, Vasile Goldiş Western University of Arad, 310130 Arad, Romania
    Department of Teacher Training, Lucian Blaga University of Sibiu, 550024 Sibiu, Romania
    These authors contributed equally to this work.)

  • Naeem Saleem

    (Department of Mathematics, University of Management and Technology C-II, Johar Town, Lahore 54782, Pakistan
    These authors contributed equally to this work.)

Abstract

In this paper we give some common fixed point theorems for Ćirić type operators in complex valued b -metric spaces. Also, some corollaries under this contraction condition are obtained. Our results extend and generalize the results of Hammad et al. In the second part of the paper, in order to strengthen our main results, an illustrative example and some applications are given.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:400-:d:501333
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. Gunaseelan Mani & Salma Haque & Arul Joseph Gnanaprakasam & Ozgur Ege & Nabil Mlaiki, 2023. "The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations," Mathematics, MDPI, vol. 11(12), pages 1-19, June.
    2. Amiri, Pari & Afshari, Hojjat, 2022. "Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. 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).
    4. Mohamed Jleli & Bessem Samet, 2023. "On Some Inequalities Involving Generalized Distance Functions," Mathematics, MDPI, vol. 11(5), pages 1-13, February.
    5. 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.

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    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).

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