{
  "id": "1109.3025",
  "version": "v2",
  "published": "2011-09-14T08:58:10.000Z",
  "updated": "2013-09-19T09:03:47.000Z",
  "title": "θ-metric spaces: A generalization",
  "authors": [
    "Farshid Khojasteh",
    "Erdal Karapinar",
    "Stojan Randenovic"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, using a more generalized inequality instead of triangle inequality, the notion of \\theta-metric space is introduced. Some important properties of induced topology by such spaces are presented. Also, Banach and Caristi type fixed point in such spaces are proved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-19T09:03:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "caristi type fixed point",
      "generalized inequality",
      "important properties",
      "triangle inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.3025K"
    }
  }
}