In this paper, we introduce a new algorithm which combines the inertial projection and contraction method and the viscosity method for solving monotone variational inequality problems in real Hilbert spaces and prove a strong convergence theorem of our proposed algorithm under the standard assumptions imposed on cost operators. Finally, we give some numerical experiments to illustrate the proposed algorithm.

中文翻译：

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变分不等式问题的惯性投影与收缩方法的新强收敛定理

在本文中，我们引入了一种新的算法，该算法结合了惯性投影和收缩方法以及粘性方法来解决实际希尔伯特空间中的单调变分不等式问题，并在对成本运营商施加标准假设的情况下证明了该算法的强收敛性定理。最后，我们给出了一些数值实验来说明该算法。