Some topological properties of fuzzy strong b-metric spaces
author
Abstract:
In this study, we investigate topological properties of fuzzy strong b-metric spaces defined in [13]. Firstly, we prove Baire's theorem for these spaces. Then we define the product of two fuzzy strong b-metric spaces defined with same continuous t-norms and show that $X_{1}times X_{2}$ is a complete fuzzy strong b-metric space if and only if $X_{1}$ and $X_{2}$ are complete fuzzy strong b-metric spaces. Finally it is proven that a subspace of a separable fuzzy strong b-metric space is separable.
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Journal title
volume 08 issue 02
pages 127- 131
publication date 2019-06-01
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