{"ID":2830643,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2512.09968","arxiv_id":"2512.09968","title":"Quantitative results on a generalized viscosity approximation method","abstract":"In this paper, we study, in a nonlinear setting, the asymptotic behaviour of a generalized viscosity approximation method associated with a countable family of nonexpansive mappings satisfying resolvent-like conditions. We apply proof mining methods to obtain quantitative results on asymptotic regularity in W-hyperbolic spaces and rates of metastability in CAT(0) spaces.","short_abstract":"In this paper, we study, in a nonlinear setting, the asymptotic behaviour of a generalized viscosity approximation method associated with a countable family of nonexpansive mappings satisfying resolvent-like conditions. We apply proof mining methods to obtain quantitative results on asymptotic regularity in W-hyperboli...","url_abs":"https://arxiv.org/abs/2512.09968","url_pdf":"https://arxiv.org/pdf/2512.09968v1","authors":"[\"Paulo Firmino\",\"Laurentiu Leustean\"]","published":"2025-12-10T09:46:20Z","proceeding":"math.OC","tasks":"[\"math.OC\",\"math.LO\"]","methods":"[]","has_code":false}