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Effective results on nonlinear ergodic averages in CAT(κ) spaces
In 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.Romanian National Authority for Scientific ResearchRomanian Ministry of Educatio
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