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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
De Gruyter
2023-10-01
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Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2023-0121 |