{
  "id": "2308.13114",
  "version": "v1",
  "published": "2023-08-24T23:35:31.000Z",
  "updated": "2023-08-24T23:35:31.000Z",
  "title": "Fixed points for $F$-expanding mappings in the sense of measures of noncompactness",
  "authors": [
    "Youssef Touail",
    "Amine Jaid",
    "Driss El Moutawakil"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this article, we model with measures of noncompactness the well-known concept of F-expanding mappings given by Gornicki (Fixed Point Theory Appl 2017, 9 (2016)). Our results are proved by weakening some assumptions on F and without using the surjectivity. Moreover, the paper contains some examples and an application to the Volterra-integral equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-24T23:35:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "noncompactness",
      "fixed point theory appl",
      "well-known concept",
      "volterra-integral equation",
      "paper contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}