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求解分裂变分包含问题和不动点问题的惯性Tseng外梯度法

裴永刚 郭静邑 邵帅

应用数学2023,Vol.36Issue(4):961-975,15.
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

裴永刚 1郭静邑 1邵帅1

作者信息

  • 1. 河南师范大学数学与信息科学学院,河南新乡453007
  • 折叠

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)

应用数学

OA北大核心CSTPCD

1001-9847

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