{
  "id": "1503.08126",
  "version": "v1",
  "published": "2015-03-27T16:15:11.000Z",
  "updated": "2015-03-27T16:15:11.000Z",
  "title": "Answers to Kirk-Shahzad's questions on strong $b$-metric spaces",
  "authors": [
    "Tran Van An",
    "Nguyen Van Dung"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, two open questions on strong $b$-metric spaces posed by Kirk and Shahzad [11, Chapter 12] are investigated. A counter-example is constructed to give a negative answer to the first question, and a theorem on the completion of a strong $b$-metric space is proved to give a positive answer to the second question.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-27T16:15:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "54H25",
      "54D99",
      "54E99"
    ],
    "keywords": [
      "kirk-shahzads questions",
      "first question",
      "open questions",
      "second question",
      "counter-example"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150308126V"
    }
  }
}