A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds

被引：1

作者：

He, Huimin ^{[1
]}

Peng, Jigen ^{[1
]}

Fan, Qinwei ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

[2] Xian Polytech Univ, Sch Sci, Xian, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Hadamard manifold; fixed points; iterative algorithm; monotone inclusion problem; VARIATIONAL INEQUALITY PROBLEMS; VECTOR-FIELDS; OPERATORS; APPROXIMATION; CONVERGENCE; PROJECTION;

D O I：

10.1080/01630563.2023.2221896

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly nonexpansive mappings and the solution set of zero points of the monotone inclusion problems on Hadamard manifolds, the main results in this paper extended and improved some recent related results.

引用

页码：1031 / 1043

页数：13

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