{ "id": "2305.13866", "version": "v1", "published": "2023-05-23T09:38:10.000Z", "updated": "2023-05-23T09:38:10.000Z", "title": "$I^K_ν$-Convergence of functions in probabilistic normed spaces", "authors": [ "Amar Kumar Banerjee", "Mahendranath Paul" ], "comment": "16 pages", "categories": [ "math.GN" ], "abstract": "In this paper we study $I^K$-convergence of functions with respect to probabilistic norm $\\nu$ which is a generalization of $I^*_{\\nu}$-convergence in probabilistic norm spaces. We also study on $I^K$-Cauchy functions and $I^K$-limit points with respect to probabilistic norm $\\nu$ in the same space.", "revisions": [ { "version": "v1", "updated": "2023-05-23T09:38:10.000Z" } ], "analyses": { "subjects": [ "54E70", "40A05", "40A35" ], "keywords": [ "probabilistic normed spaces", "convergence", "probabilistic norm spaces", "limit points" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }