{ "id": "2211.03463", "version": "v1", "published": "2022-11-07T11:25:23.000Z", "updated": "2022-11-07T11:25:23.000Z", "title": "Rough convergence of sequences in a partial metric space", "authors": [ "Amar Kumar Banerjee", "Sukila Khatun" ], "comment": "12 pages", "categories": [ "math.GN" ], "abstract": "In this paper we have studied the notion of rough convergence of sequences in a partial metric space. We have also investigated how far several relevant results on boundedness, rough limit sets etc. which are valid in a metric space are affected in a partial metric space.", "revisions": [ { "version": "v1", "updated": "2022-11-07T11:25:23.000Z" } ], "analyses": { "subjects": [ "40A05", "40A99" ], "keywords": [ "partial metric space", "rough convergence", "rough limit sets", "relevant results", "boundedness" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }