On the ρ-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 Ći...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/7326013 |
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| author | Müzeyyen Sangurlu Sezen Serap Özcan Manuel De la Sen Sina Etemad Raaid Alubady |
| author_facet | Müzeyyen Sangurlu Sezen Serap Özcan Manuel De la Sen Sina Etemad Raaid Alubady |
| author_sort | Müzeyyen Sangurlu Sezen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e45b1ad934ba448e887c19223c27fed7 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e45b1ad934ba448e887c19223c27fed72025-08-20T03:07:11ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/7326013On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point TheoremsMüzeyyen Sangurlu Sezen0Serap Özcan1Manuel De la Sen2Sina Etemad3Raaid Alubady4Department of MathematicsDepartment of MathematicsDepartment of Electricity and ElectronicsDepartment of MathematicsDepartment of Information TechnologyIn 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.http://dx.doi.org/10.1155/jom/7326013 |
| spellingShingle | Müzeyyen Sangurlu Sezen Serap Özcan Manuel De la Sen Sina Etemad Raaid Alubady On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems Journal of Mathematics |
| title | On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems |
| title_full | On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems |
| title_fullStr | On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems |
| title_full_unstemmed | On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems |
| title_short | On the ρ-Interpolative Ćirić–Reich–Rus-Type Fixed-Point Theorems |
| title_sort | on the ρ interpolative ciric reich rus type fixed point theorems |
| url | http://dx.doi.org/10.1155/jom/7326013 |
| work_keys_str_mv | AT muzeyyensangurlusezen ontherinterpolativeciricreichrustypefixedpointtheorems AT serapozcan ontherinterpolativeciricreichrustypefixedpointtheorems AT manueldelasen ontherinterpolativeciricreichrustypefixedpointtheorems AT sinaetemad ontherinterpolativeciricreichrustypefixedpointtheorems AT raaidalubady ontherinterpolativeciricreichrustypefixedpointtheorems |