A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems
| Title: | A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems |
|---|---|
| Authors: | Youssef Achtoun, Abderrahim Mbarki, Ismail Tahiri, Mohammed Lamarti Sefian |
| Source: | Sahand Communications in Mathematical Analysis, Vol 21, Iss 4, Pp 93-108 (2024) |
| Publisher Information: | University of Maragheh, 2024. |
| Publication Year: | 2024 |
| Collection: | LCC:Mathematics |
| Subject Terms: | controlled strong probabilistic $b$-metric spaces, fixed point, probabilistic ω-contraction mapping, Mathematics, QA1-939 |
| More Details: | 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. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 2322-5807 2423-3900 |
| Relation: | https://scma.maragheh.ac.ir/article_713646_9403edb2a5c7b3e41f7412d09aca5687.pdf; https://doaj.org/toc/2322-5807; https://doaj.org/toc/2423-3900 |
| DOI: | 10.22130/scma.2024.2018396.1569 |
| Access URL: | https://doaj.org/article/f3ce36234e0940aa8393b7a3d58fa060 |
| Accession Number: | edsdoj.f3ce36234e0940aa8393b7a3d58fa060 |
| Database: | Directory of Open Access Journals |
| ISSN: | 23225807 24233900 |
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| DOI: | 10.22130/scma.2024.2018396.1569 |
| Published in: | Sahand Communications in Mathematical Analysis |
| Language: | English |