Halpern-type proximal point algorithm in complete CAT(0) metric spaces
oraz | 21 wrz 2017
O artykule
Data publikacji: 21 wrz 2017
Zakres stron: 141 - 159
Otrzymano: 10 paź 2015
Przyjęty: 15 gru 2015
DOI: https://doi.org/10.1515/auom-2016-0052
Słowa kluczowe
© 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.