{
  "id": "1406.0724",
  "version": "v1",
  "published": "2014-06-03T14:31:17.000Z",
  "updated": "2014-06-03T14:31:17.000Z",
  "title": "An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems",
  "authors": [
    "Radu Ioan Bot",
    "Ernö Robert Csetnek"
  ],
  "categories": [
    "math.OC",
    "math.NA"
  ],
  "abstract": "We investigate the convergence of a forward-backward-forward proximal-type algorithm with inertial and memory effects when minimizing the sum of a nonsmooth function with a smooth one in the absence of convexity. The convergence is obtained provided an appropriate regularization of the objective satisfies the Kurdyka-\\L{}ojasiewicz inequality, which is for instance fulfilled for semi-algebraic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-03T14:31:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C26",
      "90C30",
      "65K10"
    ],
    "keywords": [
      "inertial tsengs type proximal algorithm",
      "nonconvex optimization problems",
      "semi-algebraic functions",
      "appropriate regularization",
      "forward-backward-forward proximal-type algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.0724I"
    }
  }
}