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26 April 2024

» arxiv » 1305.5916

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Effective results on nonlinear ergodic averages in CAT$(kappa)$ spaces
Laurentiu Leustean ; Adriana Nicolae ;
Date:	25 May 2013
Abstract:	In this paper we apply proof mining techniques to compute, in the setting of CAT$(kappa)$ spaces (with $kappa >0$), 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.
Source:	arXiv, 1305.5916
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