{
  "id": "2107.07176",
  "version": "v1",
  "published": "2021-07-15T07:53:04.000Z",
  "updated": "2021-07-15T07:53:04.000Z",
  "title": "Quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration",
  "authors": [
    "Horatiu Cheval",
    "Laurentiu Leustean"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we compute quadratic rates of asymptotic regularity for the Tikhonov-Mann iteration in $W$-hyperbolic spaces. This iteration is an extension to a nonlinear setting of the modified Mann iteration defined recently by Bot, Csetnek and Meier in Hilbert spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-15T07:53:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47J25",
      "47H09",
      "03F10"
    ],
    "keywords": [
      "asymptotic regularity",
      "tikhonov-mann iteration",
      "quadratic rates",
      "modified mann iteration",
      "hyperbolic spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}