{
  "id": "1712.08782",
  "version": "v1",
  "published": "2017-12-23T14:59:10.000Z",
  "updated": "2017-12-23T14:59:10.000Z",
  "title": "On m-metric spaces and fixed point theorems",
  "authors": [
    "Samer Assaf"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper we make some observations concerning m-metric spaces and point out some discrepancies in the proofs found in the literature. To remedy this, we propose a new topological construction and prove that it is in fact a generalization of a partial metric space. Then, using this construction, we present our main theorem having as its corollaries the fixed point theorems found in previous publications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-23T14:59:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "37C25",
      "54H25"
    ],
    "keywords": [
      "fixed point theorems",
      "observations concerning m-metric spaces",
      "partial metric space",
      "main theorem",
      "topological construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}