{
  "id": "1506.02868",
  "version": "v1",
  "published": "2015-06-09T12:03:55.000Z",
  "updated": "2015-06-09T12:03:55.000Z",
  "title": "Approximation of fixed points for a representation of nonexpansive mappings in Banach spaces",
  "authors": [
    "Ebrahim Soori"
  ],
  "comment": "17 pages",
  "categories": [
    "math.FA"
  ],
  "abstract": "The purpose of this paper is to study an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth and uniformly convex Banach space with respect to a left regular sequence of means defined on an appropriate space of bounded real valued functions of the semigroup. This algorithm extends the algorithm that introduced in [N. Hussain, M. L. Bami and E. Soori, An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications 2014, 2014:238].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T12:03:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47H09",
      "47H10"
    ],
    "keywords": [
      "nonexpansive mappings",
      "fixed point",
      "representation",
      "approximation",
      "left regular sequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150602868S"
    }
  }
}