{
  "id": "1208.1239",
  "version": "v1",
  "published": "2012-08-02T08:30:42.000Z",
  "updated": "2012-08-02T08:30:42.000Z",
  "title": "Preliminaries on pseudo-contractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces",
  "authors": [
    "M. De La Sen"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1208.0758",
  "categories": [
    "math.FA"
  ],
  "abstract": "A contractive condition is addressed for extended 2-cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same subsets of its domain. It is proven that if the space is uniformly convex and the subsets are non-empty, closed and convex then all the iterations converge to a unique closed limiting finite sequence which contains the best proximity points of adjacent subsets and reduce to a unique fixed point if all such subsets intersect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-02T08:30:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric space",
      "cyclic self-mappings",
      "intermediate sense",
      "finite number",
      "preliminaries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.1239D"
    }
  }
}