{
  "id": "math/0501013",
  "version": "v1",
  "published": "2005-01-02T07:37:07.000Z",
  "updated": "2005-01-02T07:37:07.000Z",
  "title": "Approximate $(σ-τ)$-Contractibility",
  "authors": [
    "Mohammad Sal Moslehian"
  ],
  "comment": "10 pages",
  "journal": "Nonlinear Funct. Anal. Appl, 11 (2006), no. 5, 805-813",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper, the generalized Hyers--Ulam--Rassias stability of $(\\sigma-\\tau)$-derivations on normed algebras into Banach bimodules is established. We introduce the notion of approximate $(\\sigma-\\tau)$-contractibility and prove that a Banach algebra is $(\\sigma-\\tau)$-contractible if and only if it is approximately $(\\sigma-\\tau)$-Contractible.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-02T07:37:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82",
      "46H25",
      "39B52",
      "47B47"
    ],
    "keywords": [
      "approximate",
      "contractibility",
      "banach algebra",
      "banach bimodules"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1013S"
    }
  }
}