Modified Proximal Point Algorithms for Solving Constrained Minimization and Fixed Point Problems in Complete CAT(0) Spaces

被引：0
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作者：
Withun Phuengrattana
Nawitcha Onjai-uea
Prasit Cholamjiak
机构：
[1] Nakhon Pathom Rajabhat University,Department of Mathematics, Faculty of Science and Technology
[2] Nakhon Pathom Rajabhat University,Research Center for Pure and Applied Mathematics, Research and Development Institute
[3] University of Phayao,School of Science
来源：
Mediterranean Journal of Mathematics | 2018年 / 15卷
关键词：
Convex minimization problem; Fixed point problems; Proximal point algorithm; Nonexpansive mappings; CAT(0) spaces; 47H09; 47H10; 65K10; 65K15;
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摘要：
In this paper, we propose a new modified proximal point algorithm for a countably infinite family of nonexpansive mappings in complete CAT(0) spaces and prove strong convergence theorems for the proposed process under suitable conditions. We also apply our results to solving linear inverse problems and minimization problems. Several numerical examples are given to show the efficiency of the presented method.
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