A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems
Year: 2024
Type: article
Abstract: 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.
Authors: Youssef Achtoun, Abderrahim Mbarki, Ismail Tahiri, Mohammed Lamarti Sefian
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6907452131