{
  "id": "1804.09292",
  "version": "v1",
  "published": "2018-04-24T23:31:19.000Z",
  "updated": "2018-04-24T23:31:19.000Z",
  "title": "An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds",
  "authors": [
    "E. E. A. Batista",
    "G. C. Bento",
    "O. P. Ferreira"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence properties. In order to present our method the concept of $\\epsilon$-enlargement of maximal monotone vector fields is used and its lower-semicontinuity is stablished in order to obtain the convergence of the method in this new context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-24T23:31:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variational inequality",
      "hadamard manifolds",
      "extragradient-type algorithm",
      "maximal monotone vector fields",
      "point-to-set vector field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}