On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions
In this paper, we establish novel fixed point theorems in the framework of neutrosophic metric spaces (NMS) by introducing the concept of neutrosophic (L, φ)-contractions. These contractions generalize classical contractive conditions by incorporating a function L that bounds the interaction between...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-06-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/27FixedPoint.pdf |
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| _version_ | 1849232918412525568 |
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| author | Anwar Bataihah Ayman. A Hazaymeh |
| author_facet | Anwar Bataihah Ayman. A Hazaymeh |
| author_sort | Anwar Bataihah |
| collection | DOAJ |
| description | In this paper, we establish novel fixed point theorems in the framework of neutrosophic metric spaces (NMS) by introducing the concept of neutrosophic (L, φ)-contractions. These contractions generalize classical contractive conditions by incorporating a function L that bounds the interaction between displacement terms and a control function φ that modulates the contraction intensity. Under specific hypothesis, we prove that every neutrosophic (L, φ)-contraction on a complete NMS admits a unique fixed point. As applications, we derive several corollaries by specifying the forms of L and φ, including cases where L is linear, additive, or defined via maximum functions. Our results unify and extend existing fixed point theorems in neutrosophic settings, while illustrative examples demonstrate their practical applicability. |
| format | Article |
| id | doaj-art-a6e1158d0c9c4f88b9d4db0634aba3ce |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-a6e1158d0c9c4f88b9d4db0634aba3ce2025-08-20T16:39:18ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-06-018548950810.5281/zenodo.15299867On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary FunctionsAnwar BataihahAyman. A HazaymehIn this paper, we establish novel fixed point theorems in the framework of neutrosophic metric spaces (NMS) by introducing the concept of neutrosophic (L, φ)-contractions. These contractions generalize classical contractive conditions by incorporating a function L that bounds the interaction between displacement terms and a control function φ that modulates the contraction intensity. Under specific hypothesis, we prove that every neutrosophic (L, φ)-contraction on a complete NMS admits a unique fixed point. As applications, we derive several corollaries by specifying the forms of L and φ, including cases where L is linear, additive, or defined via maximum functions. Our results unify and extend existing fixed point theorems in neutrosophic settings, while illustrative examples demonstrate their practical applicability. https://fs.unm.edu/NSS/27FixedPoint.pdffixed pointneutrosophic setneutrosophic metric(lφ)-contractionnon linear contraction |
| spellingShingle | Anwar Bataihah Ayman. A Hazaymeh On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions Neutrosophic Sets and Systems fixed point neutrosophic set neutrosophic metric (l φ)-contraction non linear contraction |
| title | On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions |
| title_full | On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions |
| title_fullStr | On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions |
| title_full_unstemmed | On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions |
| title_short | On Fixed Point Results in Neutrosophic Metric Spaces Using Auxiliary Functions |
| title_sort | on fixed point results in neutrosophic metric spaces using auxiliary functions |
| topic | fixed point neutrosophic set neutrosophic metric (l φ)-contraction non linear contraction |
| url | https://fs.unm.edu/NSS/27FixedPoint.pdf |
| work_keys_str_mv | AT anwarbataihah onfixedpointresultsinneutrosophicmetricspacesusingauxiliaryfunctions AT aymanahazaymeh onfixedpointresultsinneutrosophicmetricspacesusingauxiliaryfunctions |