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Application to Lipschitzian and Integral Systems via a Quadruple Coincidence Point in Fuzzy Metric Spaces

Author

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  • Hasanen A. Hammad

    (Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia
    Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

  • Manuel De la Sen

    (Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, 48940 Leioa, Bizkaia, Spain)

Abstract

In this paper, the results of a quadruple coincidence point (QCP) are established for commuting mapping in the setting of fuzzy metric spaces (FMSs) without using a partially ordered set. In addition, several related results are presented in order to generalize some of the prior findings in this area. Finally, to support and enhance our theoretical ideas, non-trivial examples and applications for finding a unique solution for Lipschitzian and integral quadruple systems are discussed.

Suggested Citation

  • Hasanen A. Hammad & Manuel De la Sen, 2022. "Application to Lipschitzian and Integral Systems via a Quadruple Coincidence Point in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 10(11), pages 1-16, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1905-:d:830454
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    References listed on IDEAS

    as
    1. Binayak S. Choudhury & Erdal Karapınar & Amaresh Kundu, 2012. "Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, July.
    2. Hasanen A. Hammad & Manuel De la Sen, 2021. "Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 9(18), pages 1-23, September.
    3. Bradshaw, Charles W., 1983. "A fuzzy set theoretic interpretation of economic control limits," European Journal of Operational Research, Elsevier, vol. 13(4), pages 403-408, August.
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