On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities

PT Vuong - Journal of optimization theory and applications, 2018 - Springer
In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the
extragradient method for solving pseudo-monotone variational inequalities converges …

[HTML][HTML] Inertial extragradient algorithms for strongly pseudomonotone variational inequalities

DV Thong, D Van Hieu - Journal of Computational and Applied …, 2018 - Elsevier
The purpose of this paper is to study and analyze two different kinds of inertial type iterative
methods for solving variational inequality problems involving strongly pseudomonotone and …

Modified extragradient method with Bregman distance for variational inequalities

D Van Hieu, P Cholamjiak - Applicable Analysis, 2022 - Taylor & Francis
The paper deals with a numerical method for solving a monotone variational inequality
problem in a Hilbert space. The algorithm is inspired by Popov's modified extragradient …

Modified extragradient-like algorithms with new stepsizes for variational inequalities

D Van Hieu, PK Anh, LD Muu - Computational Optimization and …, 2019 - Springer
The paper concerns with an algorithm for approximating solutions of a variational inequality
problem involving a Lipschitz continuous and monotone operator in a Hilbert space. The …

Some results on strongly pseudomonotone quasi-variational inequalities

LV Nguyen, X Qin - Set-Valued and Variational Analysis, 2020 - Springer
In this paper, strongly pseudomonotone quasi-variational inequalities are investigated. We
provide sufficient conditions for existence and uniqueness of solutions of strongly …

New extragradient-like algorithms for strongly pseudomonotone variational inequalities

D Van Hieu, DV Thong - Journal of Global Optimization, 2018 - Springer
The paper considers two extragradient-like algorithms for solving variational inequality
problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert …

A new low-cost double projection method for solving variational inequalities

A Gibali, DV Thong - Optimization and Engineering, 2020 - Springer
In this work we are concerned with variational inequalities in real Hilbert spaces and
introduce a new double projection method for solving it. The algorithm is motivated by the …

New extragradient method for a class of equilibrium problems in Hilbert spaces

DV Hieu - Applicable Analysis, 2018 - Taylor & Francis
The paper proposes a new extragradient algorithm for solving strongly pseudomonotone
equilibrium problems which satisfy a Lipschitz-type condition recently introduced by …

Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces

DV Hieu, YJ Cho, Y Xiao, P Kumam - Optimization, 2020 - Taylor & Francis
In this paper, we introduce a new algorithm for solving a variational inequality problem in a
Hilbert space. The algorithm originates from an explicit discretization of a dynamical system …

Fast alternated inertial projection algorithms for pseudo-monotone variational inequalities

Y Shehu, QL Dong, LL Liu - Journal of Computational and Applied …, 2022 - Elsevier
In this paper, we propose an alternated inertial subgradient extragradient algorithm for
variational inequalities with self-adaptive step-sizes and obtain weak and linear …