{ "id": "2405.12515", "version": "v1", "published": "2024-05-21T06:03:54.000Z", "updated": "2024-05-21T06:03:54.000Z", "title": "Generalized Baker's result and stability of functional equations using fixed point results", "authors": [ "Supriti Laha", "Lakshmi Kanta Dey" ], "comment": "13-page", "categories": [ "math.FA" ], "abstract": "Hyre-Ulam stability of functional equation in single variable is studied in non-triangular metric spaces. We derive it as applications of some fixed point results developed on the said structure. A general version of Baker's theorem is also deduced as a consequence.", "revisions": [ { "version": "v1", "updated": "2024-05-21T06:03:54.000Z" } ], "analyses": { "subjects": [ "47H10", "39B82", "54H25" ], "keywords": [ "fixed point results", "generalized bakers result", "functional equation", "non-triangular metric spaces", "hyre-ulam stability" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }