{
  "id": "1906.03010",
  "version": "v1",
  "published": "2019-06-07T11:08:43.000Z",
  "updated": "2019-06-07T11:08:43.000Z",
  "title": "Stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces",
  "authors": [
    "Wutiphol Sintunavarat",
    "Nguyen Van Dung",
    "Anurak Thanyacharoen"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we study the generalized Hyers-Ulam stability of Euler-Lagrange type cubic functional equation of the form \\begin{align*} 2mf(x + my) + 2f(mx - y) = (m^3 + m)[f(x+ y) + f(x - y)] + 2(m^4 - 1)f(y) \\end{align*} for all $x,y \\in X$, where $m$ is a fixed scalar such that $m \\neq 0,1$, and $f$ is a map from a quasi-normed space $X$ to a quasi-Banach space $Y$ over the same field with $X$ by applying the alternative fixed point theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-07T11:08:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euler-lagrange type cubic functional equation",
      "quasi-banach space",
      "generalized hyers-ulam stability",
      "alternative fixed point theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}