Halpern-type proximal point algorithm in complete CAT(0) metric spaces
and | Sep 21, 2017
About this article
Published Online: Sep 21, 2017
Page range: 141 - 159
Received: Oct 10, 2015
Accepted: Dec 15, 2015
DOI: https://doi.org/10.1515/auom-2016-0052
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of the operator.