Halpern-type proximal point algorithm in complete CAT(0) metric spaces
y | 21 sept 2017
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Publicado en línea: 21 sept 2017
Páginas: 141 - 159
Recibido: 10 oct 2015
Aceptado: 15 dic 2015
DOI: https://doi.org/10.1515/auom-2016-0052
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© 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.