A Note on Extension of Fuzzy Metric Spaces

Dingwei Zheng () and Qingming He
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Dingwei Zheng: School of Mathematics and Information Science, Guangxi University, Nanning 530004, China
Qingming He: School of Mathematics and Information Science, Guangxi University, Nanning 530004, China

Mathematics, 2023, vol. 11, issue 24, 1-9

Abstract: In this note, we prove that for two compatible fuzzy metrics M H and M K on H and K , respectively, there exists a fuzzy metric M on H ⋃ K such that M | H = M H and M | K = M K under the conditions that t-norm ∗ is positive and fuzzy metrics M H , M K are strong, or t-norm ∗ is positive and t-norm ∗, fuzzy metrics M H , M K satisfy the Lipschitz conditions.

Keywords: fuzzy metric; positive; stationary; Lipschitz condition (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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