On the <i>ρ</i> ‐Interpolative Ćirić–Reich–Rus‐Type Fixed‐Point Theorems
In this study, we aim to introduce some new definitions called ρ ‐interpolative Ćirić–Reich–Rus‐type and Kannan‐type fuzzy contractions by using the concepts of ρ ‐admissibility (by Dinarvand (2017)) and ς ‐comparison function (by Mihet (2008)). We prove some fixed‐point theorems for ρ ‐interpolative Ćirić–Reich–Rus‐type and Kannan‐type fuzzy contractions in M‐complete fuzzy metric spaces. We presented some of the results established in fuzzy metric spaces to the partially ordered fuzzy metric spaces. Some examples support the results obtained in this manuscript. As an application, we present the existence of a solution to the entity uniqueness problems.
Authors
- Müzeyyen Sangurlu Sezen (ORCID: https://orcid.org/0000-0001-7520-6255)
- Raaid Alubady (ORCID: https://orcid.org/0000-0001-9748-2541)
- Manuel De la Sen (ORCID: https://orcid.org/0000-0001-9320-9433)
- Serap Özcan (ORCID: https://orcid.org/0000-0001-6496-5088)
- Sina Etemad (ORCID: https://orcid.org/0000-0002-1574-1800)
Institutions
- Turku University of Applied Sciences (FI)
- University of Babylon (IQ)
- University of the Basque Country (ES)
- Thi Qar University (IQ)
- Azarbaijan Shahid Madani University (IR)
- Saveetha University (IN)
- Gazi University (TR)
Publication Details
- Journal
- Journal of Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jom/7326013
- Citations
- 1
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 4.09
Funders
- Eusko Jaurlaritza
- Azarbaijan Shahid Madani University