This paper is a survey of methods for solving smooth (strongly) monotone stochastic variational inequalities. To begin with, we give the deterministic foundation from which the stochastic methods eventually evolved. Then we review methods for the general stochastic formulation, and look at the finite sum setup. The last parts of the paper are devoted to various recent (not necessarily stochastic) advances in algorithms for variational inequalities.

翻译：本文综述了解决平滑（强）单调随机变分不等式的方法。首先，我们介绍了确定性基础，从中最终发展出了随机方法。然后我们回顾了一般随机公式的解法，并研究了有限总和设置。文章的最后几部分专注于变分不等式各种近期（不一定是随机的）算法的进展。