A NEW ALGORITHM FOR MONOTONE INCLUSION PROBLEMS AND FIXED POINTS ON HADAMARD MANIFOLDS WITH APPLICATIONS

被引：0

作者：

张石生 ^{[1
]}

唐金芳 ^{[2
]}

温庆丰 ^{[3
]}

机构：

[1] Center for General Education,China Medical University

[2] Department of Mathematics,Yibin University

[3] Department of Medical Research,Kaohsiung Medical University Hospital

来源：

ActaMathematicaScientia | 2021年 / 41卷 / 04期

关键词：

Monotone inclusion problem; quasi-pseudo-contractive mapping; demi-contraction mapping; maximal monotone vector field; quasi-nonexpansive mappings; Hadamard manifold;

D O I：

暂无

中图分类号：

O177.91 [非线性泛函分析];

学科分类号：

070104 ;

摘要：

In this article,we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a demi-contraction mapping and the set of zeros of monotone inclusion problems on Hadamard manifolds.As applications,we use our results to study the minimization problems and equilibrium problems in Hadamard manifolds.

引用

页码：1250 / 1262

页数：13

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