摘要
提出了一种求解变分不等式与不动点问题的惯性次梯度外梯度算法,证明了其弱收敛性定理,通过数值实验验证所得的理论结果.
In this paper,an inertial subgradient external gradient algorithm for solving variational inequalities and fixed point problems is proposed.Secondly,its weak convergence theorem is proved.Finally,the theoretical results obtained in this paper are verified by numerical experiments.
作者
张东耀
刘红卫
马小军
李肖银
Zhang Dongyao;Liu Hongwei;Ma Xiaojun;Li Xiaoyin(School of Mathematics and Statistics,Xidian University)
出处
《哈尔滨师范大学自然科学学报》
CAS
2022年第2期8-17,共10页
Natural Science Journal of Harbin Normal University
基金
陕西省自然科学基础研究计划资助项目(2021JM-396)
关键词
变分不等式
不动点问题
次梯度外梯度方法
惯性算法
伪单调映射
Variational inequality
Fixed point problems
Subgradient external gradient method
Inertial algorithm
Pseudo-monotone mapping