Extragradient method with variance reduction for stochastic variational inequalities

AN Iusem, A Jofré, RI Oliveira, P Thompson - SIAM Journal on Optimization, 2017 - SIAM
extragradient method with stepsizes bounded away from zero for stochastic variational
inequalities … Our method attains the optimal oracle complexity O(1/ϵ2) (up to a logarithmic term) …

An explicit extragradient algorithm for solving variational inequalities

DV Hieu, JJ Strodiot, LD Muu - Journal of Optimization Theory and …, 2020 - Springer
In this paper, we introduce an explicit iterative algorithm for solving a (pseudo) monotone
variational inequality under Lipschitz condition in a Hilbert space. The algorithm is constructed …

A modified inertial subgradient extragradient method for solving variational inequalities

Y Shehu, OS Iyiola, S Reich - Optimization and Engineering, 2022 - Springer
… inertial subgradient extragradient method computationally … extragradient algorithm for solving
variational inequality problems … We present a relaxed version of this method with seemingly …

A modified subgradient extragradient method for solving the variational inequality problem

QL Dong, D Jiang, A Gibali - Numerical Algorithms, 2018 - Springer
method is about half of that of the extragradient method. Another observation concerning the
extragradient method … subgradient extragradient method for solving variational inequalities

An extragradient-type algorithm for non-smooth variational inequalities

AN Iusem, LR Lucambio Pérez - Optimization, 2000 - Taylor & Francis
extragradient-type methods to solve variational inequality … of sequences generated by
extragradient methods it is necessary, … it to overcome this failure of the extragradient-methods. We …

Subgradient extragradient method with double inertial steps for variational inequalities

Y Yao, OS Iyiola, Y Shehu - Journal of Scientific Computing, 2022 - Springer
… improve the inertial subgradient extragradient method to solve VI(A, C)(1). Specifically, in
the present paper we study the inertial subgradient extragradient method and improve on the …

Extragradient method for solving quasivariational inequalities

AS Antipin, M Jaćimović, N Mijajlović - Optimization, 2018 - Taylor & Francis
method and an extragradient method. The possibilities of the choice of parameters of the
gradient projection method … in the variational inequality also depends on the solution, then the …

Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space

Y Censor, A Gibali, S Reich - Optimization, 2012 - Taylor & Francis
extragradient method for solving the variational inequality … set of the VIP in Korpelevich's
extragradient method with a specific … the convergence of the method is preserved and present …

[HTML][HTML] Extragradient methods for solving nonconvex variational inequalities

MA Noor, E Al-Said, KI Noor, Y Yao - Journal of Computational and Applied …, 2011 - Elsevier
variational inequalities. Using the projection technique, we suggest and analyze an
extragradient method for solving the nonconvex variational inequalities. We show that the …

Convergence of extragradient algorithm with monotone step size strategy for variational inequalities and operator equations

SV Denisov, DA Nomirovskii… - … of Automation and …, 2019 - dl.begellhouse.com
Variational inequalities and operator equations in an infinite dimensional Hilbert space with
… iterative algorithm that is a superposition of a modified Korpelevich extragradient algorithm