On the convergence of inertial two-subgradient extragradient method for variational inequality problems
On the convergence of inertial two-subgradient extragradient method for variational inequality problems
复制标题
变分不等式问题的惯性二次梯度外梯度法的收敛性
DOI：
10.1080/02331934.2019.1686632
复制
发表时间：
2020-06
期刊：
影响因子：
2.2
通讯作者：
Ke Guo
中科院分区：
文献类型：
--
作者：
Yu Cao;Ke Guo
ABSTRACT In 2012, Censor et al. proposed the so-called two-subgradient extragradient method (TSEGM) in which both projections have an explicit-formula because the projections are just executed onto half-spaces. However, the convergence of the TSEGM was posted as an open question. In this paper, we answer this open question affirmatively for the case where the closed convex set can be represented as the lower level set of a continuously differentiable convex function. Censor's open question is thus partially answered. More precisely, we combine the inertial technique with the TSEGM and establish the weak convergence of the proposed method under mild conditions.
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影响因子：
1.6
作者：
He S;Wu T
通讯作者：
Wu T
DOI：
10.1007/b97543
发表时间：
2003
期刊：
--
影响因子：
--
作者：
F. Facchinei;J. Pang
通讯作者：
F. Facchinei;J. Pang
影响因子：
2.1
作者：
Duong Viet Thong;D. Hieu
通讯作者：
Duong Viet Thong;D. Hieu
DOI：
10.1016/0041-5553(66)90114-5
发表时间：
1966
期刊：
Ussr Computational Mathematics and Mathematical Physics
影响因子：
--
作者：
E. Levitin;Boris Polyak
通讯作者：
E. Levitin;Boris Polyak
DOI：
--
发表时间：
1976
期刊：
--
影响因子：
--
作者：
G. M. Korpelevich
通讯作者：
G. M. Korpelevich