{
  "id": "2304.11366",
  "version": "v1",
  "published": "2023-04-22T10:30:11.000Z",
  "updated": "2023-04-22T10:30:11.000Z",
  "title": "Rates of asymptotic regularity of the Tikhonov-Mann iteration for families of mappings",
  "authors": [
    "Horaţiu Cheval"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper we generalize the strongly convergent Krasnoselskii- Mann-type iteration for families of nonexpansive mappings defined recently by Bo\\c{t} and Meier in Hilbert spaces to the abstract setting of W - hyperbolic spaces and we compute effective rates of asymptotic regularity for our generalization. This also generalizes recent results by Leu\\c{s}tean and the author on the Tikhonov-Mann iteration from single mappings to families of mappings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-22T10:30:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47J25",
      "47H09"
    ],
    "keywords": [
      "asymptotic regularity",
      "tikhonov-mann iteration",
      "hyperbolic spaces",
      "hilbert spaces",
      "single mappings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}