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Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces

Author

Listed:
  • Gunaseelan Mani

    (Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India
    All authors contributed equally to this work.)

  • Arul Joseph Gnanaprakasam

    (Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur, Kanchipuram, Chennai 603203, Tamil Nadu, India
    All authors contributed equally to this work.)

  • Zoran D. Mitrović

    (Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
    All authors contributed equally to this work.)

  • Monica-Felicia Bota

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    All authors contributed equally to this work.)

Abstract

In this paper, motivated by the recent result of Sezen, we introduce the notion of fuzzy triple controlled bipolar metric space and prove some fixed point results in this framework. Our results generalize and extend some of the well-known results from the literature. We also explore some of the applications of our key results to integral equations.

Suggested Citation

  • Gunaseelan Mani & Arul Joseph Gnanaprakasam & Zoran D. Mitrović & Monica-Felicia Bota, 2021. "Solving an Integral Equation via Fuzzy Triple Controlled Bipolar Metric Spaces," Mathematics, MDPI, vol. 9(24), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3181-:d:698891
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    References listed on IDEAS

    as
    1. Ehsan Lotfali Ghasab & Hamid Majani & Erdal Karapinar & Ghasem Soleimani Rad, 2020. "New Fixed Point Results in - Quasi-Metric Spaces and an Application," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-6, June.
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    Cited by:

    1. Rajagopalan Ramaswamy & Gunaseelan Mani & Arul Joseph Gnanaprakasam & Ola A. Ashour Abdelnaby & Vuk Stojiljković & Slobodan Radojevic & Stojan Radenović, 2022. "Fixed Points on Covariant and Contravariant Maps with an Application," Mathematics, MDPI, vol. 10(22), pages 1-16, November.

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