Halpern-type proximal point algorithm in complete CAT(0) metric spaces
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.
Language: English
Page range: 141 - 159
Submitted on: Oct 10, 2015
Accepted on: Dec 15, 2015
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year
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© 2017 Mohammad Taghi Heydari, Sajad Ranjbar, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.