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arXiv · 1907.08935

Answering an open question in fuzzy metric spaces

Xinxing Wu·Guanrong Chen
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Abstract

This paper answers affirmatively Problem 32 posted in \cite{GMM2012}, proving that, for every stationary fuzzy metric space $(X, M, *)$, the function $M_y(x):=M(x,y)$ defined therein is $\mathbb{R}$-uniformly continuous for all $y\in X$, and furthermore proves that the function $M$ is $\mathbb{R}$-uniformly continuous.

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Xinxing Wu, Guanrong Chen. 2019-07-21. Answering an open question in fuzzy metric spaces. https://doi.org/10.1016/j.fss.2019.12.006

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