Hilbert空间上变分不等式问题的外梯度算法

An Extragradient Algorithm for Variational Inequality Problems in Hilbert Spaces

本文在Hilbert空间上提出一种关于伪单调变分不等式问题的新Tseng外梯度算法.我们证明由算法生成的序列强收敛到变分不等式解集的一个元素.所得结果推广和改进了很多最新结果.

We introduce a new Tseng's extragradient algorithm for solving pseu-domonotone variational inequality problems in Hilbert spaces.We prove that the sequence generated by our proposed algorithm converges strongly to an element of solution set for variational inequality problems.The results obtained in this paper extend and improve many recent ones in the literature.