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Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for FG -Contractions with Applications

Author

Listed:
  • Dur-e-Shehwar Sagheer

    (Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan)

  • Zainab Rahman

    (Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan)

  • Samina Batul

    (Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan)

  • Ahmad Aloqaily

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
    School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia)

  • Nabil Mlaiki

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia)

Abstract

This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b -metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

Suggested Citation

  • Dur-e-Shehwar Sagheer & Zainab Rahman & Samina Batul & Ahmad Aloqaily & Nabil Mlaiki, 2023. "Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for FG -Contractions with Applications," Mathematics, MDPI, vol. 11(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3981-:d:1243103
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    References listed on IDEAS

    as
    1. Samina Batul & Dur-e-Shehwar Sagheer & Muhammad Anwar & Hassen Aydi & Vahid Parvaneh & Ivan Giorgio, 2022. "Fuzzy Fixed Point Results of Fuzzy Mappings on b-Metric Spaces via α∗,F-Contractions," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-8, July.
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    Cited by:

    1. Allan Edley Ramos de Andrade & Vinícius Francisco Wasques, 2024. "Fixed-Point Theorems for Fuzzy Mappings," Mathematics, MDPI, vol. 12(14), pages 1-8, July.

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    1. Allan Edley Ramos de Andrade & Vinícius Francisco Wasques, 2024. "Fixed-Point Theorems for Fuzzy Mappings," Mathematics, MDPI, vol. 12(14), pages 1-8, July.

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