{
  "id": "1208.0979",
  "version": "v1",
  "published": "2012-08-05T04:23:13.000Z",
  "updated": "2012-08-05T04:23:13.000Z",
  "title": "A New Fixed Point Theorem for Non-expansive Mappings and Its Application",
  "authors": [
    "Chunyan Yang"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We use $KKM$ theorem to prove the existence of a new fixed point theorem for non-expansive mapping:Let M be a bounded closed convex subset of Hilbert space H, and $A:M\\rightarrow M$ be a non-expansive mapping, then exists a fixed point of A in M, we also apply this Theorem to study the solution for an integral equation,we can weak some conditions comparing with Banach's contraction principe.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-05T04:23:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fixed point theorem",
      "non-expansive mapping",
      "application",
      "banachs contraction principe",
      "hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0979Y"
    }
  }
}