Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions
Fixed point theory is a fundamental tool in mathematics and numerous scientific fields. This study employs the concept of neutrosophic metric spaces as defined by Kiri¸sci and S¸im¸sek to introduce fixed point theorems related to neutrosophic ψ-quasi contractions. We demonstrate that each ψ-quasi co...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-05-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/1MetricSpaces.pdf |
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| author | Anwar Bataihah Ayman. A Hazaymeh Yousef Al-Qudah Faisal Al-Sharqi |
| author_facet | Anwar Bataihah Ayman. A Hazaymeh Yousef Al-Qudah Faisal Al-Sharqi |
| author_sort | Anwar Bataihah |
| collection | DOAJ |
| description | Fixed point theory is a fundamental tool in mathematics and numerous scientific fields. This study employs the concept of neutrosophic metric spaces as defined by Kiri¸sci and S¸im¸sek to introduce fixed point theorems related to neutrosophic ψ-quasi contractions. We demonstrate that each ψ-quasi contractions possesses a unique fixed point, provided the fuzzy sets are continuous. Additionally, we provide some examples to illustrate our primary theorem. Moreover, we derive several fixed point results based on the main theorem. |
| format | Article |
| id | doaj-art-8a963680a7094807b34e4688f2fc453e |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-8a963680a7094807b34e4688f2fc453e2025-08-25T08:24:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-05-018211610.5281/zenodo.14960868Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi ContractionsAnwar BataihahAyman. A HazaymehYousef Al-Qudah Faisal Al-SharqiFixed point theory is a fundamental tool in mathematics and numerous scientific fields. This study employs the concept of neutrosophic metric spaces as defined by Kiri¸sci and S¸im¸sek to introduce fixed point theorems related to neutrosophic ψ-quasi contractions. We demonstrate that each ψ-quasi contractions possesses a unique fixed point, provided the fuzzy sets are continuous. Additionally, we provide some examples to illustrate our primary theorem. Moreover, we derive several fixed point results based on the main theorem. https://fs.unm.edu/NSS/1MetricSpaces.pdffixed pointψ-quasi-contractionsbanach contraction principlechatterjea contractionskannan contractionsneutrosophic metricquasi-contractionnon-linear contractions |
| spellingShingle | Anwar Bataihah Ayman. A Hazaymeh Yousef Al-Qudah Faisal Al-Sharqi Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions Neutrosophic Sets and Systems fixed point ψ-quasi-contractions banach contraction principle chatterjea contractions kannan contractions neutrosophic metric quasi-contraction non-linear contractions |
| title | Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions |
| title_full | Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions |
| title_fullStr | Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions |
| title_full_unstemmed | Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions |
| title_short | Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions |
| title_sort | some fixed point theorems in complete neutrosophic metric spaces for neutrosophic ψ quasi contractions |
| topic | fixed point ψ-quasi-contractions banach contraction principle chatterjea contractions kannan contractions neutrosophic metric quasi-contraction non-linear contractions |
| url | https://fs.unm.edu/NSS/1MetricSpaces.pdf |
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