{
  "id": "1207.4531",
  "version": "v1",
  "published": "2012-07-19T01:36:01.000Z",
  "updated": "2012-07-19T01:36:01.000Z",
  "title": "Fixed point properties for semigroups of nonlinear mappings and amenability",
  "authors": [
    "A. T. -M. Lau",
    "Yong Zhang"
  ],
  "comment": "J. Funct. Anal., to appear",
  "categories": [
    "math.FA"
  ],
  "abstract": "In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings on a compact convex subset of a separated locally convex space. Such semigroups properly include the class of extremely left amenable semitopological semigroups, the free commutative semigroup on one generator and the bicyclic semigroup $S_1 = < a, b: ab = 1 >$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-19T01:36:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46H20",
      "43A20",
      "43A10",
      "46H25",
      "16E40"
    ],
    "keywords": [
      "nonlinear mappings",
      "left amenable semitopological semigroups",
      "amenability",
      "compact convex subset",
      "schauder fixed point property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.4531L"
    }
  }
}