Leustean, LaurentiuNicolae, Adriana2016-11-292016-11-292016-12Leustean, L. y Nicolae, A. (201-). Effective results on nonlinear ergodic averages in CAT(κ) spaces. Ergodic Theory and Dynamical Systems, 36 (8), 2580-2601.0143-38571469-4417http://hdl.handle.net/11441/49302In this paper we apply proof mining techniques to compute, in the setting of CAT(κ) spaces (with κ > 0), effective and highly uniform rates of asymptotic regularity and metastability for a nonlinear generalization of the ergodic averages, known as the Halpern iteration. In this way, we obtain a uniform quantitative version of a nonlinear extension of the classical von Neumann mean ergodic theorem.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Proof miningNonlinear ergodic averagesCAT(κ) spacesRates of metastabiltyHalpern iterationAsymptotic regularityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1017/etds.2015.31