Halpern-type proximal point algorithm in complete CAT(0) metric spaces
et | 21 sept. 2017
À propos de cet article
Publié en ligne: 21 sept. 2017
Pages: 141 - 159
Reçu: 10 oct. 2015
Accepté: 15 déc. 2015
DOI: https://doi.org/10.1515/auom-2016-0052
Mots clés
© 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.