{
  "id": "0812.5022",
  "version": "v1",
  "published": "2008-12-30T07:08:21.000Z",
  "updated": "2008-12-30T07:08:21.000Z",
  "title": "The stability of a quadratic type functional equation with the fixed point alternative",
  "authors": [
    "M. Eshaghi Gordji",
    "H. Khodaei"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability for the quadratic type functional equation &f(x+y+2cz)+f(x+y-2cz)+c^2f(2x)+c^2f(2y) &=2[f(x+y)+c^2f(x+z)+c^2f(x-z)+c^2f(y+z)+c^2f(y-z)] {2.6 cm} for fixed integers $c$ with $c\\neq0,\\pm1$, by using the fixed point alternative.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-30T07:08:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "39B52"
    ],
    "keywords": [
      "quadratic type functional equation",
      "fixed point alternative",
      "general solution",
      "generalized hyers-ulam-rassias stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.5022E"
    }
  }
}