Accelerated Subgradient Extragradient Methods for Variational Inequality Problems
Accelerated Subgradient Extragradient Methods for Variational Inequality Problems
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DOI：
10.1007/s10915-019-00984-5
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发表时间：
2019-06
影响因子：
2.5
通讯作者：
Duong Viet Thong;N. T. Vinh;Y. Cho
中科院分区：
文献类型：
--
作者：
Duong Viet Thong;N. T. Vinh;Y. Cho
本文介绍了求解实Hilbert空间中单调变分不等式问题的两种新的迭代算法，它们分别基于惯性次梯度外梯度算法、粘性逼近方法和Mann型方法，并在适当的条件下证明了所提算法的强收敛定理。本文的主要结果改进和推广了一些作者最近的工作。最后，通过几个初步的数值实验，给出了该方法的性能，并与现有的一些方法进行了比较。
In this paper, we introduce two new iterative algorithms for solving monotone variational inequality problems in real Hilbert spaces, which are based on the inertial subgradient extragradient algorithm, the viscosity approximation method and the Mann type method, and prove some strong convergence theorems for the proposed algorithms under suitable conditions. The main results in this paper improve and extend some recent works given by some authors. Finally, the performances and comparisons with some existing methods are presented through several preliminary numerical experiments.