Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b-metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva-S...
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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 Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/jofs/5982890 |
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| author | Jiaojiao Wu Fei He Shu-fang Li Xinyan Zhang |
| author_facet | Jiaojiao Wu Fei He Shu-fang Li Xinyan Zhang |
| author_sort | Jiaojiao Wu |
| collection | DOAJ |
| description | In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b-metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva-Seikkala’s type fuzzy b-metric spaces are presented. It is remarkable that the contractive conditions of our results do not depend on the space coefficient b. The presented work extends and improves some well-known results in the literature. Finally, as an application, we demonstrate a unique solution to both the Fredholm integral equation and the fractional differential equation. |
| format | Article |
| id | doaj-art-ff13e5f6be474c05a6e65a425b4c5cd6 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ff13e5f6be474c05a6e65a425b4c5cd62025-08-20T02:26:55ZengWileyJournal of Function Spaces2314-88882025-01-01202510.1155/jofs/5982890Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric SpaceJiaojiao Wu0Fei He1Shu-fang Li2Xinyan Zhang3School of Mathematical SciencesSchool of Mathematical SciencesSchool of Statistics and MathematicsSchool of Statistics and MathematicsIn this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b-metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva-Seikkala’s type fuzzy b-metric spaces are presented. It is remarkable that the contractive conditions of our results do not depend on the space coefficient b. The presented work extends and improves some well-known results in the literature. Finally, as an application, we demonstrate a unique solution to both the Fredholm integral equation and the fractional differential equation.http://dx.doi.org/10.1155/jofs/5982890 |
| spellingShingle | Jiaojiao Wu Fei He Shu-fang Li Xinyan Zhang Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space Journal of Function Spaces |
| title | Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space |
| title_full | Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space |
| title_fullStr | Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space |
| title_full_unstemmed | Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space |
| title_short | Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b-Metric Space |
| title_sort | comparison function and boyd wong type contractions in kaleva seikkala s type fuzzy b metric space |
| url | http://dx.doi.org/10.1155/jofs/5982890 |
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