New extragradient-type methods for general variational inequalities

MA Noor - Journal of Mathematical Analysis and Applications, 2003 - Elsevier
In this paper, we consider and analyze a new class of extragradient-type methods for solving
general variational inequalities. The modified methods converge for pseudomonotone …

SELF-ADAPTIVE INERTIAL SHRINKING TSENG'S EXTRAGRADIENT METHOD FOR SOLVING A PSEUDOMONOTONE VARIATIONAL INEQUALITIES IN BANACH …

OT MEWOMO, AOE OWOLABI… - Journal of Applied & …, 2023 - search.ebscohost.com
In this paper, we propose an inertial shrinking Tseng's extragradient algorithm with a self-
adaptive step size for solving pseudomonotone variational inequality problem with non …

A Tseng extragradient method for solving variational inequality problems in Banach spaces

OK Oyewole, HA Abass, AA Mebawondu… - Numerical …, 2022 - Springer
This paper presents an inertial Tseng extragradient method for approximating a solution of
the variational inequality problem. The proposed method uses a single projection onto a half …

On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications

B Tan, S Li, X Qin - Computational and Applied Mathematics, 2021 - Springer
This paper presents several modified subgradient extragradient methods with inertial effects
to approximate solutions of variational inequality problems in real Hilbert spaces. The …

A relaxed inertial factor of the modified subgradient extragradient method for solving pseudo monotone variational inequalities in Hilbert spaces

DV Thong, VT Dung - Acta Mathematica Scientia, 2023 - Springer
In this paper, we investigate pseudomonotone and Lipschitz continuous variational
inequalities in real Hilbert spaces. For solving this problem, we propose a new method that …

Proximal Point Methods for solving mixed variational inequalities on the Hadamard manifolds

MA Noor, KI Noor - Journal of Applied Mathematics, 2012 - Wiley Online Library
We use the auxiliary principle technique to suggest and analyze a proximal point method for
solving the mixed variational inequalities on the Hadamard manifold. It is shown that the …

Strong convergence of an inertial Tseng's extragradient algorithm for pseudomonotone variational inequalities with applications to optimal control problems

B Tan, X Qin - arXiv preprint arXiv:2007.11761, 2020 - arxiv.org
We investigate an inertial viscosity-type Tseng's extragradient algorithm with a new step size
to solve pseudomonotone variational inequality problems in real Hilbert spaces. A strong …

Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds

K Khammahawong, P Chaipunya, P Kumam - Advances in Operator …, 2022 - Springer
Mann-type Tseng's algorithm and Halpern-type Tseng's algorithm are shown in this article.
They are used to find a common solution from the set of fixed points of nonexpansive …

A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

AE Ofem, AA Mebawondu, GC Ugwunnadi… - Journal of Inequalities …, 2023 - Springer
In this article, we introduce an inertial-type algorithm that combines the extragradient
subgradient method, the projection contraction method, and the viscosity method. The …

A Modified Tseng's Algorithm with Extrapolation from the Past for Pseudo-monotone Variational Inequalities

B Tongnoi - Taiwanese Journal of Mathematics, 2024 - projecteuclid.org
We present Tseng's forward-backward-forward method with extrapolation from the past for
pseudo-monotone variational inequalities in Hilbert spaces. In addition, we propose a …