Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces
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 …
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 …
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 …
extragradient method for solving pseudo-monotone variational inequalities converges …
Versions of the subgradient extragradient method for pseudomonotone variational inequalities
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 …
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 …
inequality problems of pseudo-monotone and non-Lipschitz continuous operator in real …
Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities
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 …
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 …
inequalities problem with Lipschitz continuous and monotone mapping in real Hilbert space …
Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces
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 …
Hilbert space. The algorithm originates from an explicit discretization of a dynamical system …
Novel projection methods for solving variational inequality problems and applications
We introduce and analyze two modified subgradient extragradient methods with adaptive
step sizes for solving variational inequality problems governed by pseudomonotone and …
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 …
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …