Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces

D Van Hieu, YJ Cho, YB Xiao, P Kumam - Vietnam Journal of Mathematics, 2021 - Springer
In this paper, we prove the weak convergence of a modified extragradient algorithm for
solving a variational inequality problem involving a pseudomonotone operator in an infinite …

A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities

J Fan, L Liu, X Qin - Optimization, 2020 - Taylor & Francis
In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient
extragradient algorithm for solving variational inequality problems involving strongly …

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 …

Versions of the subgradient extragradient method for pseudomonotone variational inequalities

PQ Khanh, DV Thong, NT Vinh - Acta Applicandae Mathematicae, 2020 - Springer
We develop versions of the subgradient extragradient method for variational inequalities in
Hilbert spaces and establish sufficient conditions for their convergence. First we prove a …

Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators

G Cai, QL Dong, Y Peng - Journal of Optimization Theory and Applications, 2021 - Springer
In this paper, we propose a new viscosity extragradient algorithm for solving variational
inequality problems of pseudo-monotone and non-Lipschitz continuous operator in real …

Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities

DV Thong, A Gibali - Journal of Fixed Point Theory and Applications, 2019 - Springer
The purpose of this paper is to study and analyze two new extragradient methods for solving
non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces …

Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities

J Yang, H Liu, G Li - Numerical Algorithms, 2020 - Springer
In this paper, we introduce a new iterative algorithm for solving classical variational
inequalities problem with Lipschitz continuous and monotone mapping in real Hilbert space …

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 …

Novel projection methods for solving variational inequality problems and applications

DV Thong, S Reich, Y Shehu, OS Iyiola - Numerical Algorithms, 2023 - Springer
We introduce and analyze two modified subgradient extragradient methods with adaptive
step sizes for solving variational inequality problems governed by pseudomonotone and …

Revisiting subgradient extragradient methods for solving variational inequalities

B Tan, X Qin, SY Cho - Numerical Algorithms, 2022 - Springer
In this paper, several extragradient algorithms with inertial effects and adaptive non-
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …