On topological equivalence of R-uniformly continuous fuzzy metric spaces

Changqing Li


The notion of uniform continuity in fuzzy metric spaces was first introduced by George and Veeramani in1995. Later, Gregori et al. gave some contributions to the theory. As a consequence of the study, we introduce the notion of RUC fuzzy metric space. Also, necessary and sufficient conditions for a fuzzy metric space to be an RUC fuzzy metric space are studied. In addition, several examples are given.


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