{
  "id": "2311.01137",
  "version": "v1",
  "published": "2023-11-02T10:38:50.000Z",
  "updated": "2023-11-02T10:38:50.000Z",
  "title": "Rough convergence of sequences in Controlled Metric Type Spaces",
  "authors": [
    "Sukila Khatun",
    "Amar Kumar Banerjee"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "Mlaiki et al.\\cite{MLA} introduced the idea of controlled metric type spaces, which is a new extension of $b$-metric spaces with addition of a controlled function $\\alpha(x,y)$ of the right-hand side of the $b$-triangle inequality. Phu \\cite{PHU} introduced the idea of rough convergence of sequences in a normed linear space. In this paper we have brought the idea of rough convergence of sequences in a controlled metric type space. We have proved several results associated with rough limit sets and some relevant results associated with such convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-02T10:38:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40A05",
      "40A99"
    ],
    "keywords": [
      "controlled metric type space",
      "rough convergence",
      "rough limit sets",
      "relevant results",
      "right-hand side"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}