{
  "id": "2101.06042",
  "version": "v1",
  "published": "2021-01-15T10:12:44.000Z",
  "updated": "2021-01-15T10:12:44.000Z",
  "title": "On the stability and convergence of Mann iteration process in convex A- metric spaces",
  "authors": [
    "Isa Yildirim"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1911.04867",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, firstly, we introduce the concept of convexity in A-metric spaces and show that Mann iteration process converges to the unique fixed point of Zamfirescu type contractions in this newly defined convex A-metric space. Secondly, we define the concept of stability in convex A-metric spaces and establish stability result for the Mann iteration process considered in such spaces. Our results carry some well-known results from the literature to convex A-metric spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-15T10:12:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H09",
      "47H10"
    ],
    "keywords": [
      "metric spaces",
      "convergence",
      "mann iteration process converges",
      "zamfirescu type contractions",
      "newly defined convex a-metric space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}