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A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction

Author

Listed:
  • Shazia Kanwal

    (Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan)

  • Akbar Azam

    (Department of Mathematics, Grand Asian University Sialkot, Punjab 51310, Pakistan)

  • Muhammad Gulzar

    (Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan)

  • Gustavo Santos-García

    (IME, Universidad de Salamanca, 37008 Salamanca, Spain)

Abstract

In this work, we design and demonstrate the occurrence of L -fuzzy common fixed points of L -fuzzy mappings ( L -FM) meeting contractive criteria in the framework of complete b-metric spaces (b-MS) employing F-contractions and a certain class of continuous functions. We also conduct a case study to determine the implementation of our derived principles. A few other concepts which are the direct consequences of our findings are explained in this paper.

Suggested Citation

  • Shazia Kanwal & Akbar Azam & Muhammad Gulzar & Gustavo Santos-García, 2022. "A Fixed Point Approach to Lattice Fuzzy Set via F-Contraction," Mathematics, MDPI, vol. 10(19), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3673-:d:935570
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    References listed on IDEAS

    as
    1. Saleh Abdullah Al-Mezel & Jamshaid Ahmad & Manuel De La Sen, 2020. "Some New Fuzzy Fixed Point Results with Applications," Mathematics, MDPI, vol. 8(6), pages 1-15, June.
    2. Dušan Rakić & Tatjana Došenović & Zoran D. Mitrović & Manuel de la Sen & Stojan Radenović, 2020. "Some Fixed Point Theorems of Ćirić Type in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 8(2), pages 1-15, February.
    Full references (including those not matched with items on IDEAS)

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