应用数学2023,Vol.36Issue(4):961-975,15.
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
摘要
Abstract
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Key words
Hilbert space/Strong convergence/Demimetric mapping/Split variational inclusion problem/Tseng's extragradient method分类
数理科学引用本文复制引用
裴永刚,郭静邑,邵帅..求解分裂变分包含问题和不动点问题的惯性Tseng外梯度法[J].应用数学,2023,36(4):961-975,15.基金项目
Supported by the National Natural Science Foundation of China(12071133) (12071133)