摘要
利用Armijo-似搜索和强正有界算子改进单调变分不等式问题的外梯度方法,并在Hilbert空间中讨论Armijo-似搜索的可行性,建立逼近单调变分不等式问题解的强收敛定理.
Using the Armijo-like search and strongly positive bounded operator to improve an extragradient method of monotone variational inequality problem.We discussed the feasibility of the Armijo-like search in a Hilbert space,and established strong convergence theorems to approximate the solution of monotone variational inequality problem.
作者
闻道君
张蓉
何光
WEN Daojun;ZHANG Rong;HE Guang(College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China;Chongqing Key Laboratory of Social Economy and Applied Statistics,Chongqing 400067,China;College of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2020年第4期847-852,共6页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:11471059)
重庆市前沿与应用基础研究项目(批准号:cstc2016jcyjA0564)
经济社会应用统计重庆市重点实验室开放项目(批准号:KFJJ2019098).
关键词
变分不等式
单调算子
Armijo-似搜索
外梯度方法
强收敛
variational inequality
monotone operator
Armijo-like search
extragradient method
strong convergence
