{
  "id": "1510.08010",
  "version": "v1",
  "published": "2015-10-27T17:52:12.000Z",
  "updated": "2015-10-27T17:52:12.000Z",
  "title": "A parallel hybrid method for equilibrium problems, variational inequalities and nonexpansive mappings in Hilbert space",
  "authors": [
    "Dang Van Hieu"
  ],
  "comment": "16 pages",
  "journal": "J. Korean Math.Soc. 52(2015), No. 2, pp. 373-388",
  "doi": "10.4134/JKMS.2015.52.2.373",
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone mappings and the set of fixed points of a finite family of nonexpansive mappings in Hilbert space. Strong convergence theorem is proved for the sequence generated by the scheme. Finally, a parallel iterative algorithm for two finite families of variational inequalities and nonexpansive mappings is established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-27T17:52:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65Y05",
      "47H09",
      "47H10",
      "47J20"
    ],
    "keywords": [
      "variational inequalities",
      "parallel hybrid method",
      "nonexpansive mappings",
      "equilibrium problems",
      "hilbert space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}