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

Abdelhamid Moussaoui () and Said Melliani
Additional contact information
Abdelhamid Moussaoui: Sultan Moulay Slimane University
Said Melliani: Sultan Moulay Slimane University

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 8, No 18, 3807-3816

Abstract: 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.

Keywords: Fixed point theory; Fuzzy metric; Fuzzy contraction; Simulation functions (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13198-024-02378-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:ijsaem:v:15:y:2024:i:8:d:10.1007_s13198-024-02378-9

Ordering information: This journal article can be ordered from
http://www.springer.com/engineering/journal/13198

DOI: 10.1007/s13198-024-02378-9

Access Statistics for this article

International Journal of System Assurance Engineering and Management is currently edited by P.K. Kapur, A.K. Verma and U. Kumar

More articles in International Journal of System Assurance Engineering and Management from Springer, The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().