{
  "id": "2408.10225",
  "version": "v1",
  "published": "2024-08-01T14:47:12.000Z",
  "updated": "2024-08-01T14:47:12.000Z",
  "title": "On the stability of radical functional equation in modular space",
  "authors": [
    "Abderrahman Baza",
    "Mohamed Rossafi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this work, we prove the generalised Hyer Ulam stability of the following functional equation \\begin{equation}\\label{Eq-1} \\phi(x)+\\phi(y)+\\phi(z)=q \\phi\\left(\\sqrt[s]{\\frac{x^s+y^s+z^s}{q}}\\right),\\qquad |q| \\leq 1 \\end{equation} and $s$ is an odd integer such that $s\\geq 3$, in modular space, using the direct method, and the fixed point theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-01T14:47:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "39B52"
    ],
    "keywords": [
      "radical functional equation",
      "modular space",
      "generalised hyer ulam stability",
      "fixed point theorem",
      "direct method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}