{
  "id": "1902.03108",
  "version": "v1",
  "published": "2019-02-08T14:39:50.000Z",
  "updated": "2019-02-08T14:39:50.000Z",
  "title": "Chatterjea type fixed point in Partial $b$-metric spaces",
  "authors": [
    "Yaé Ulrich Gaba",
    "Collins Amburo Agyingi",
    "Domini Jocema Leko"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, we give and prove two Chatterjea type fixed point theorems on partial $b$-metric space. We propose an extension to the Banach contraction principle on partial $b$-metric space which was already presented by Shukla and also study some related results on the completion of a partial metric type space. In particular, we prove a joint Chatterjea-Kannan fixed point theorem. We verify the $T$-stability of Picard's iteration and conjecture the $P$ property for such maps. We also give examples to illustrate our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-08T14:39:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H05",
      "47H09",
      "47H10"
    ],
    "keywords": [
      "metric space",
      "partial metric type space",
      "joint chatterjea-kannan fixed point theorem",
      "chatterjea type fixed point theorems",
      "banach contraction principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}