A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds

被引：0
|
作者：
Yao, Teng-Teng [1 ]
Jin, Xiao-Qing [2 ]
Zhao, Zhi [3 ]
机构：
[1] Zhejiang Univ Sci & Technol, Sch Sci, Dept Math, Hangzhou 310023, Peoples R China
[2] Univ Macau, Dept Math, Macau 999078, Peoples R China
[3] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou 310018, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2023年 / 16卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Nonexpansive mapping; Hadamard manifold; fixed point; inertial Mann algorithm; PROXIMAL POINT ALGORITHM; MONOTONE VECTOR-FIELDS; STRONG-CONVERGENCE;
D O I：
10.4208/nmtma.OA-2023-0039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of finding fixed points of nonexpansive mappings on Hadamard manifolds is considered in this paper. To solve this kind of problem, we propose a modified Riemannian Mann algorithm with inertial effect. Under the assumption of existence of fixed points of the nonexpansive mapping, the global convergence of the proposed algorithm is established. To show the efficiency of the proposed algorithm, numerical comparisons with some existing algorithms are reported.
引用
收藏
页码：954 / 967
页数：14
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