{
  "id": "2501.08060",
  "version": "v1",
  "published": "2025-01-14T12:13:46.000Z",
  "updated": "2025-01-14T12:13:46.000Z",
  "title": "Rough ideal convergence in a partial metric space",
  "authors": [
    "Sukila Khatun",
    "Amar Kumar Banerjee",
    "Rahul Mondal"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GN"
  ],
  "abstract": "In this paper, using the concept of ideal, we study the idea of rough ideal convergence of sequences which is an extension of the notion of rough convergence of sequences in a partial metric space. We define the set of rough $\\mathcal{I}$-limit points and the set of rough $\\mathcal{I}$-cluster points and then we prove some relevant results associated with these sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-14T12:13:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40A05",
      "40G15"
    ],
    "keywords": [
      "rough ideal convergence",
      "partial metric space",
      "rough convergence",
      "limit points",
      "cluster points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}