ACCELERATED PROJECTION-BASED FORWARD-BACKWARD SPLITTING ALGORITHMS FOR MONOTONE INCLUSION PROBLEMS

被引：6
|
作者：
Tan, Bing [1 ]
Zhou, Zheng [1 ]
Qin, Xiaolong [2 ]
机构：
[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 05期
关键词：
Monotone operator; forward-backward splitting algorithm; strong convergence; inclusion problem; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; OPERATORS; FAMILIES; SUM;
D O I：
10.11948/20190363
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, based on inertial and Tseng's ideas, we propose two projection-based algorithms to solve a monotone inclusion problem in infinite dimensional Hilbert spaces. Solution theorems of strong convergence are obtained under the certain conditions. Some numerical experiments are presented to illustrate that our algorithms are efficient than the existing results.
引用
收藏
页码：2184 / 2197
页数：14
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