{
  "id": "1907.08935",
  "version": "v1",
  "published": "2019-07-21T09:10:58.000Z",
  "updated": "2019-07-21T09:10:58.000Z",
  "title": "Answering an open question in fuzzy metric spaces",
  "authors": [
    "Xinxing Wu",
    "Guanrong Chen"
  ],
  "categories": [
    "math.DS"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-21T09:10:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open question",
      "stationary fuzzy metric space",
      "paper answers affirmatively problem",
      "uniformly continuous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}