{
  "id": "1305.3600",
  "version": "v1",
  "published": "2013-05-15T19:55:57.000Z",
  "updated": "2013-05-15T19:55:57.000Z",
  "title": "An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph",
  "authors": [
    "A. Aghanians",
    "K. Fallahi",
    "K. Nourouzi"
  ],
  "comment": "20 pages",
  "journal": "Panamer. Math. J. 23(2013), no. 2, 87-102",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J. Jachymski, \"The contraction principle for mappings on a metric space with a graph\", Proc. Amer. Math. Soc. 136 (2008) 1359-1373] employing the basic entourages of the uniform space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-15T19:55:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "05C40"
    ],
    "keywords": [
      "uniform spaces",
      "contraction principle",
      "entourage approach",
      "study banach contractions",
      "sufficient conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.3600A"
    }
  }
}