<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></abstract>

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.

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Halpern-type proximal point algorithm in complete CAT(0) metric spaces"}

First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm...

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

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
Hadamard space, Maximal monotone operator, Halpern-type proximal point algorithm, w-convergence, Strong convergence.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

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

KeywordsHadamard space, Maximal monotone operator, Halpern-type proximal point algorithm, w-convergence, Strong convergence.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Hadamard space, Maximal monotone operator, Halpern-type proximal point algorithm, w-convergence, Strong convergence.