{
  "id": "1111.4920",
  "version": "v1",
  "published": "2011-11-21T16:36:29.000Z",
  "updated": "2011-11-21T16:36:29.000Z",
  "title": "A unified theory of cone metric spaces and its applications to the fixed point theory",
  "authors": [
    "Petko D. Proinov"
  ],
  "comment": "51 pages",
  "journal": "Fixed Point Theory and Applications 2013:103 (2013)",
  "doi": "10.1186/1687-1812-2013-103",
  "categories": [
    "math.FA",
    "math.GN",
    "math.NA"
  ],
  "abstract": "In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces over a solid vector space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-21T16:36:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H25",
      "47H10",
      "46A19",
      "65J15",
      "06F30"
    ],
    "keywords": [
      "cone metric spaces",
      "fixed point theory",
      "unified theory",
      "solid vector space",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.4920P"
    }
  }
}