{
  "id": "1505.05198",
  "version": "v1",
  "published": "2015-05-19T21:45:37.000Z",
  "updated": "2015-05-19T21:45:37.000Z",
  "title": "Forward-Backward Splitting with Bregman Distances",
  "authors": [
    "Quang Van Nguyen"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "We propose a forward-backward splitting algorithm based on Bregman distances for composite minimization problems in general reflexive Banach spaces. The convergence is established using the notion of variable quasi-Bregman monotone sequences. Various examples are discussed, including some in Euclidean spaces, where new algorithms are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-19T21:45:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "90C25"
    ],
    "keywords": [
      "bregman distances",
      "forward-backward splitting",
      "composite minimization problems",
      "variable quasi-bregman monotone sequences",
      "general reflexive banach spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150505198V"
    }
  }
}