{
  "id": "1503.06119",
  "version": "v1",
  "published": "2015-03-20T15:42:04.000Z",
  "updated": "2015-03-20T15:42:04.000Z",
  "title": "Extended Lorentz cones and variational inequalities on cylinders",
  "authors": [
    "S. Z. Németh",
    "G. Zhang"
  ],
  "comment": "10 pages. arXiv admin note: text overlap with arXiv:1405.7835",
  "categories": [
    "math.OC"
  ],
  "abstract": "Solutions of a variational inequality are found by giving conditions for the monotone convergence with respect to a cone of the Picard iteration corresponding to its natural map. One of these conditions is the isotonicity of the projection onto the closed convex set in the definition of the variational inequality. If the closed convex set is a cylinder and the cone is an extented Lorentz cone, then this condition can be dropped because it is automatically satisfied. The obtained result is further particularized for unbounded box constrained variational inequalities. For this case a numerical example is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-20T15:42:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variational inequality",
      "extended lorentz cones",
      "closed convex set",
      "unbounded box constrained variational inequalities",
      "natural map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}