Common Fixed Point Theorems on Complete and Weak $G$-Complete Fuzzy Metric Spaces
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866910396719300608 |
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| author | Adhya, Sugata Ray, A. Deb |
| author_facet | Adhya, Sugata Ray, A. Deb |
| contents | Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $β$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy metric spaces. In particular, we rectified, generalize and improve the common fixed point theorem obtained by Turkoglu and Sangurlu [Journal of Intelligent & Fuzzy Systems, 26(1), 137-142] for two fuzzy $ψ$-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_08938 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Common Fixed Point Theorems on Complete and Weak $G$-Complete Fuzzy Metric Spaces Adhya, Sugata Ray, A. Deb General Topology 47H10, 54A40, 54H25 Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $β$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy metric spaces. In particular, we rectified, generalize and improve the common fixed point theorem obtained by Turkoglu and Sangurlu [Journal of Intelligent & Fuzzy Systems, 26(1), 137-142] for two fuzzy $ψ$-contractive mappings. We include non-trivial examples to exhibit the generality and demonstrate our results. |
| title | Common Fixed Point Theorems on Complete and Weak $G$-Complete Fuzzy Metric Spaces |
| topic | General Topology 47H10, 54A40, 54H25 |
| url | https://arxiv.org/abs/2111.08938 |