{
  "id": "1803.00240",
  "version": "v1",
  "published": "2018-03-01T08:04:51.000Z",
  "updated": "2018-03-01T08:04:51.000Z",
  "title": "On a new generalization of metric spaces",
  "authors": [
    "Mohamed Jleli",
    "Bessem Samet"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we introduce the $\\mathcal{F}$-metric space concept, which generalizes the metric space notion. We define a natural topology $\\tau_{\\mathcal{F}}$ in such spaces and we study their topological properties. Moreover, we establish a new version of the Banach contraction principle in the setting of $\\mathcal{F}$-metric spaces. Several examples are presented to illustrate our study.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-01T08:04:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54E50",
      "54A20",
      "47H10"
    ],
    "keywords": [
      "generalization",
      "metric space concept",
      "banach contraction principle",
      "metric space notion",
      "natural topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}