Mean ergodic theorems for a sequence of nonexpansive mappings in complete CAT(0) spaces and its applications

In this article, we prove ergodic convergence for a sequence of nonexpansive mappings in Hadamard (complete CAT(0){\rm{CAT}}\left(0)) spaces. Our result extends the nonlinear ergodic theorem by Baillon for nonexpansive mappings from Hilbert spaces to Hadamard spaces. We further establish the standar...

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Bibliographic Details
Main Authors: Termkaew Sakan, Chaipunya Parin, Kohsaka Fumiaki
Format: Article
Language:English
Published: De Gruyter 2023-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2023-0121