Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces
| Mar 31, 2018
About this article
Published Online: Mar 31, 2018
Page range: 183 - 197
Received: Mar 01, 2017
Accepted: Mar 31, 2017
DOI: https://doi.org/10.1515/auom-2017-0044
Keywords
© 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.