Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces
| 31 mar 2018
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Pubblicato online: 31 mar 2018
Pagine: 183 - 197
Ricevuto: 01 mar 2017
Accettato: 31 mar 2017
DOI: https://doi.org/10.1515/auom-2017-0044
Parole chiave
© 2018
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In this paper, we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject. Also, the inexact version of the Halpern iteration is studied in CAT(0) spaces.