IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v15y2024i8d10.1007_s13198-024-02378-9.html
   My bibliography  Save this article

Fixed point results under admissible $$\alpha$$ α - $$\eta$$ η - $$\mathcal {F}$$ F -simulation fuzzy contraction with application

Author

Listed:
  • Abdelhamid Moussaoui

    (Sultan Moulay Slimane University)

  • Said Melliani

    (Sultan Moulay Slimane University)

Abstract

In this study, we introduce the concept of admissible $$\alpha$$ α - $$\eta$$ η - $$\mathcal {F}$$ F -simulation fuzzy contraction mappings as an innovative extension within the realm of fuzzy contraction notions. The investigation systematically establishes the existence and uniqueness of fixed points pertaining to this category of mappings. To validate the precision of our findings, we apply the proposed concept to fractional integro-differential equations. The outcomes of our research serve to fortify, extend, and consolidate various antecedent studies within the academic literature.

Suggested Citation

  • Abdelhamid Moussaoui & Said Melliani, 2024. "Fixed point results under admissible $$\alpha$$ α - $$\eta$$ η - $$\mathcal {F}$$ F -simulation fuzzy contraction with application," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(8), pages 3807-3816, August.
    • Handle: RePEc:spr:ijsaem:v:15:y:2024:i:8:d:10.1007_s13198-024-02378-9
    DOI: 10.1007/s13198-024-02378-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-024-02378-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13198-024-02378-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Said Melliani & Abdelhamid Moussaoui & L. S. Chadli, 2020. "Admissible Almost Type - Contractions and Fixed Point Results," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-7, August.
    2. Huaping Huang & Biljana Carić & Tatjana Došenović & Dušan Rakić & Mirjana Brdar, 2021. "Fixed-Point Theorems in Fuzzy Metric Spaces via Fuzzy F -Contraction," Mathematics, MDPI, vol. 9(6), pages 1-10, March.
    3. Abdelhamid Moussaoui & Nawab Hussain & Said Melliani & Naeem Saleem, 2021. "Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abdelhamid Moussaoui & Vesna Todorčević & Mirjana Pantović & Stojan Radenović & Said Melliani, 2023. "Fixed Point Results via G -Transitive Binary Relation and Fuzzy L - R -Contraction," Mathematics, MDPI, vol. 11(8), pages 1-10, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:ijsaem:v:15:y:2024:i:8:d:10.1007_s13198-024-02378-9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.