A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications

被引：0
作者：
Shih-sen Chang
Jinfang Tang
Chingfeng Wen
机构：
[1] China Medical University,Center for General Education
[2] Yibin University,Department of Mathematics
[3] Kaohsiung Medical University Hospital,Department of Medical Research
来源：
Acta Mathematica Scientia | 2021年 / 41卷
关键词：
Monotone inclusion problem; quasi-pseudo-contractive mapping; demi-contraction mapping; maximal monotone vector field; quasi-nonexpansive mappings; Hadamard manifold; 49J53; 58E35; 47J22; 58C30; 47J25; 49J40; 47J20; 47H05;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1250 / 1262
页数：12
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