Cartesian Product Of Two Modular Fuzzy Metric Spaces
DOI:
https://doi.org/10.32792/jeps.v16i1.828Abstract
This paper investigates the properties of modular fuzzy metric spaces and their Cartesian products.
We begin with the basic definitions and properties of modular metrics, and modular fuzzy metrics.
The main results focus on establishing that the Cartesian product of two modular fuzzyk metric rspacesu isf itself modular fuzzyt metricq space. We prove that convergence and Cauchy sequences in the product space correspond to the sequences in the component spaces. Furthermore, the completeness property is preserved under Cartesian products. These results provide a rigorous framework for further studies in fuzzy analysis and its applications in metric-based uncertainty modeling.
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