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| 单调变分不等式问题外梯度方法的推广 | |
| 引用本文： | 闻道君,张蓉,何光.单调变分不等式问题外梯度方法的推广[J].吉林大学学报(理学版),2021,58(4):847-852. |
| 作者姓名： | 闻道君 张蓉 何光 |
| 作者单位： | 1. 重庆工商大学 数学与统计学院, 重庆 400067; 2. 经济社会应用统计重庆市重点实验室, 重庆 400067;3. 重庆邮电大学 理学院, 重庆 400065 |
| 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. |
| 关 键 词： | 变分不等式 单调算子 Armijo 似搜索 外梯度方法 强收敛 |
| 收稿时间： | 2019-12-11 |
Extension of Extragradient Method forMonotone Variational Inequality Problems |
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| WEN Daojun,ZHANG Rong,HE Guang.Extension of Extragradient Method forMonotone Variational Inequality Problems[J].Journal of Jilin University: Sci Ed,2021,58(4):847-852. | |
| Authors: | WEN Daojun ZHANG Rong HE Guang |
| Institution: | 1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China;[JP] 2. Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, China; 3. College of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
| Abstract: | Using the Armijo like search and strongly positive bounded operator to improve anextragradient 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. |
| Keywords: | variational inequality monotone operator Armijo like search extragradient method strong convergence |
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