{
  "id": "2308.01816",
  "version": "v1",
  "published": "2023-08-02T02:20:16.000Z",
  "updated": "2023-08-02T02:20:16.000Z",
  "title": "Fixed point results for set-contractions on semi-metric space with a directed graph",
  "authors": [
    "Talat Nazir",
    "Zakaria Ali",
    "Shahin Nosrat Jogan",
    "Sergei Silvestrov"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "Fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and generalize many results in the existing literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-02T02:20:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H09",
      "47H10",
      "54C60",
      "54H25"
    ],
    "keywords": [
      "fixed point results",
      "semi-metric space",
      "directed graph",
      "set-contractions",
      "generalized rational contractive mappings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}