A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems
The controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was proved for the probabilistic $\omega$-contrac...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_713646_9403edb2a5c7b3e41f7412d09aca5687.pdf |
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| _version_ | 1823859367151140864 |
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| author | Youssef Achtoun Abderrahim Mbarki Ismail Tahiri Mohammed Lamarti Sefian |
| author_facet | Youssef Achtoun Abderrahim Mbarki Ismail Tahiri Mohammed Lamarti Sefian |
| author_sort | Youssef Achtoun |
| collection | DOAJ |
| description | The controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was proved for the probabilistic $\omega$-contraction mapping on these kinds of spaces. Many prior findings in the literature are generalized and unified by our findings. Some related results are also offered to illuminate further the fundamental theorem in ordinary controlled strong $b$-metric spaces. |
| format | Article |
| id | doaj-art-f3ce36234e0940aa8393b7a3d58fa060 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-f3ce36234e0940aa8393b7a3d58fa0602025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-012149310810.22130/scma.2024.2018396.1569713646A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point TheoremsYoussef Achtoun0Abderrahim Mbarki1Ismail Tahiri2Mohammed Lamarti Sefian3Department of Mathematics and Computer Science, Normal Higher School, Abdelmalek Essaadi University, P.O Box 209, Tetouan, Morocco.Department of Mechanics and Applied Mathematics, National School of Applied Sciences of Oujda, Mohammed First University, P.O. Box 669, Oujda, Morocco.Department of Mathematics and Computer Science, Normal Higher School, Abdelmalek Essaadi University, P.O Box 209, Tetouan, Morocco.Department of Mathematics and Computer Science, Normal Higher School, Abdelmalek Essaadi University, P.O Box 209, Tetouan, Morocco.The controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was proved for the probabilistic $\omega$-contraction mapping on these kinds of spaces. Many prior findings in the literature are generalized and unified by our findings. Some related results are also offered to illuminate further the fundamental theorem in ordinary controlled strong $b$-metric spaces.https://scma.maragheh.ac.ir/article_713646_9403edb2a5c7b3e41f7412d09aca5687.pdfcontrolled strong probabilistic $b$-metric spacesfixed pointprobabilistic ω-contraction mapping |
| spellingShingle | Youssef Achtoun Abderrahim Mbarki Ismail Tahiri Mohammed Lamarti Sefian A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems Sahand Communications in Mathematical Analysis controlled strong probabilistic $b$-metric spaces fixed point probabilistic ω-contraction mapping |
| title | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
| title_full | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
| title_fullStr | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
| title_full_unstemmed | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
| title_short | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
| title_sort | novel generalization of strong probabilistic b metric spaces and fixed point theorems |
| topic | controlled strong probabilistic $b$-metric spaces fixed point probabilistic ω-contraction mapping |
| url | https://scma.maragheh.ac.ir/article_713646_9403edb2a5c7b3e41f7412d09aca5687.pdf |
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