{
  "id": "2308.05419",
  "version": "v1",
  "published": "2023-08-10T08:26:24.000Z",
  "updated": "2023-08-10T08:26:24.000Z",
  "title": "Fixed point theorem for generalized Kannan type mappings",
  "authors": [
    "Evgeniy Petrov"
  ],
  "comment": "8 pages. arXiv admin note: substantial text overlap with arXiv:2308.01003",
  "categories": [
    "math.GN"
  ],
  "abstract": "We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that such mappings are discontinuous as well as Kannan type mappings and that these two classes of mappings are independent. The fixed-point theorem for generalized Kannan type mappings is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-10T08:26:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "47H09"
    ],
    "keywords": [
      "generalized kannan type mappings",
      "fixed point theorem",
      "well-known kannan type mappings",
      "fixed-point theorem",
      "metric spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}