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The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications

Author

Listed:
  • Angamuthu Muraliraj

    (PG & Research Department of Mathematics, Urumu Dhanalakshmi College, Bharathidasan University, Trichy 620019, India)

  • Ravichandran Thangathamizh

    (Department of Mathematics, K. Ramakrishnan College of Engineering, Samayapuram, Trichy 621112, India)

  • Nikola Popovic

    (Faculty of Mathematics and Computer Science, Alfa BK University, 11070 Belgrade, Serbia)

  • Ana Savic

    (School of Electrical and Computer Engineering, Academy of Technical and Applied Studies, Vojvode Stepe 283, 11000 Belgrade, Serbia)

  • Stojan Radenovic

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

Abstract

This paper aims to introduce the concept of rational type revised fuzzy-contraction mappings in revised fuzzy metric spaces. Fixed point results are proven under the rational type revised fuzzy-contraction conditions in revised fuzzy metric spaces with illustrative examples provided to support the results. A significant role will be played by this new concept in the theory of revised fuzzy fixed point results, and it can be generalized for different contractive type mappings in the context of revised fuzzy metric spaces. Additionally, an application of a nonlinear integral type equation is presented to obtain the existing result in a unique solution to support the work.

Suggested Citation

  • Angamuthu Muraliraj & Ravichandran Thangathamizh & Nikola Popovic & Ana Savic & Stojan Radenovic, 2023. "The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2244-:d:1144060
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    References listed on IDEAS

    as
    1. Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, July.
    2. Uma Devi Patel & Stojan Radenović, 2022. "An Application to Nonlinear Fractional Differential Equation via α -Γ F -Fuzzy Contractive Mappings in a Fuzzy Metric Space," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    Full references (including those not matched with items on IDEAS)

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