{
  "id": "1304.1033",
  "version": "v1",
  "published": "2013-04-03T17:52:09.000Z",
  "updated": "2013-04-03T17:52:09.000Z",
  "title": "A Fixed Point Theorem and Equilibria of Abstract Economies with w-Upper Semicontinuous Set-Valued Maps",
  "authors": [
    "Carlos Hervés-Beloso",
    "Monica Patriche"
  ],
  "comment": "16 pages. arXiv admin note: substantial text overlap with arXiv:1303.7227, arXiv:1303.6979",
  "categories": [
    "math.OC"
  ],
  "abstract": "We introduce the notion of w-upper semicontinuous set valued maps and give a new fixed-point theorem. We also introduce the notion of set valued maps with e-USS-property. These results can be applied to obtain some new equilibrium theorems for abstract economies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-03T17:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "91A47",
      "91A80"
    ],
    "keywords": [
      "w-upper semicontinuous set-valued maps",
      "fixed point theorem",
      "abstract economies",
      "semicontinuous set valued maps",
      "equilibrium"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.1033H"
    }
  }
}