Modified subgradient extragradient method for variational inequality problems
Modified subgradient extragradient method for variational inequality problems
复制标题
DOI：
10.1007/s11075-017-0452-4
复制
发表时间：
2017-12
影响因子：
2.1
通讯作者：
Duong Viet Thong;D. Hieu
中科院分区：
文献类型：
--
作者：
Duong Viet Thong;D. Hieu
本文介绍了一种结合亚梯度外聚法和惯性法求解Hilbert空间中变分不等式问题的算法。在对代价算子施加标准假设的情况下，证明了算法的弱收敛性。所提出的算法可以看作是对先前已知的惯性梯度法在每个计算步骤上的改进。通过初步的数值实验验证了该算法的有效性。
In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. The proposed algorithm can be considered as an improvement of the previously known inertial extragradient method over each computational step. The performance of the proposed algorithm is also illustrated by several preliminary numerical experiments.