{
  "id": "math/0404235",
  "version": "v1",
  "published": "2004-04-12T20:45:08.000Z",
  "updated": "2004-04-12T20:45:08.000Z",
  "title": "The fixed point property for a class of nonexpansive maps in L\\sp\\infty(Ω,Σ,μ)",
  "authors": [
    "Cleon S. Barroso"
  ],
  "comment": "4 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "For a finite and positive measure space $(\\Omega,\\Sigma,\\mu)$ and any weakly compact convex subset of $L\\sp\\infty(\\Omega,\\Sigma,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained for the space $C(\\Omega)$. An illustrative example is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-12T20:45:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10"
    ],
    "keywords": [
      "fixed point property",
      "nonexpansive maps",
      "weakly compact convex subset",
      "positive measure space",
      "fixed point theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4235B"
    }
  }
}