Equilibrium Models and Variational Inequalities

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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities (2017, methodology): “In order to analyze the monotone case, SA methodologies based on the extragradient method of Korpelevich [25] and the mirror-prox algorithm of Nemiroviski [31] were used in [19, 7, 44, 21, 22], and iterative Tykhonov and proximal regularization procedures (see [20, 24]) were used in [43, 26, 17, 45]”
Modified extragradient method with Bregman distance for variational inequalities (2020, background): “This problem has been intensively investigated and developed after appearing the monographic books [3,4].”
Projected Reflected Gradient Methods for Monotone Variational Inequalities (2015, methodology): “Therefore, numerical methods for VIP with monotone operator have been extensively studied in the literature, see [5, 10] and references therein.”