{
  "id": "2010.08647",
  "version": "v1",
  "published": "2020-10-16T22:09:18.000Z",
  "updated": "2020-10-16T22:09:18.000Z",
  "title": "The fixed point property for $(c)$-mappings and unbounded sets",
  "authors": [
    "Abdelkader Dehici",
    "Sami Atailia"
  ],
  "comment": "10 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove that a closed convex subset $C$ of a real Hilbert space $X$ has the fixed point property for $(c)$-mappings if and only if $C$ is bounded. Some convergence results about the iterations are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-16T22:09:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H10",
      "54H25"
    ],
    "keywords": [
      "fixed point property",
      "unbounded sets",
      "real hilbert space",
      "closed convex subset",
      "convergence results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}