求解分裂变分包含问题和不动点问题的惯性Tseng外梯度法  

A New Inertial Tseng’s Extragradient Method for Solving Split Variational Inclusion Problems and Fixed Point Problems

作　　者：裴永刚[1] 郭静邑 邵帅 PEI Yonggang;GUO Jingyi;SHAO Shuai(College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《应用数学》2023年第4期961-975,共15页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(12071133)。

摘　　要：本文主要研究分裂变分包含和拟距离映射的不动点问题.受Tseng外梯度法和粘性方法的启发,本文提出了一个具有非增步长准则的新型惯性Tseng外梯度法,在一些适当的条件下,分析了该方法的强收敛性质,并给出了数值实验结果.In this paper,we focus on solving split variational inclusion problems and fixed point problems for demimetric mappings.A new inertial Tseng’s extragradient method with non-increasing step size technique is proposed,which is inspired by Tseng’s extragradient method and the viscosity method.Strong convergence is analyzed under some mild conditions.Numerical results are also reported to show the performance of the proposed method.

关 键 词：希尔伯特空间 强收敛性 拟距离映射 分裂变分包含问题 Tseng外梯度法 

分 类 号：O221.2[理学—运筹学与控制论]