{
  "id": "1802.02722",
  "version": "v1",
  "published": "2018-02-08T05:35:55.000Z",
  "updated": "2018-02-08T05:35:55.000Z",
  "title": "B-metric spaces, fixed points and Lipschitz functions",
  "authors": [
    "S. Cobzaş"
  ],
  "comment": "32 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The paper is concerned with b-metric and generalized b-metric spaces. One proves the existence of the completion of a generalized b-metric space and some fixed point results. The behavior of Lipschitz functions on b-metric spaces of homogeneous type, as well as of Lipschitz functions defined on, or with values in quasi-Banach spaces, is studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-08T05:35:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E25",
      "54E35",
      "47H09",
      "47H10",
      "46A16",
      "26A16"
    ],
    "keywords": [
      "lipschitz functions",
      "generalized b-metric space",
      "quasi-banach spaces",
      "fixed point results",
      "completion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}