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 …

[引用][C] Convergence analysis of an inertial Tseng's extragradient algorithm for solving pseudomonotone variational inequalities and applications

L Liu, SY Cho, JC Yao - Journal of …, 2021 - BIEMDAS ACAD PUBLISHERS INC …

R-linear convergence analysis of inertial extragradient algorithms for strongly pseudo-monotone variational inequalities

DV Thong, PT Vuong - Journal of Computational and Applied Mathematics, 2022 - Elsevier
Some extragradient-type algorithms with inertial effect for solving strongly pseudo-monotone
variational inequalities have been proposed and investigated recently. While the …

A modified extragradient method for infinite-dimensional variational inequalities

PD Khanh - Acta Mathematica Vietnamica, 2016 - Springer
A modified form of the extragradient method for solving infinite-dimensional variational
inequalities is considered. The weak convergence and the strong convergence for the …

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 …

Some extragradient algorithms for variational inequalities

C Fang, S Chen - … in variational and hemivariational inequalities: theory …, 2015 - Springer
We present some extragradient algorithms for solving variational inequalities including
classical variational inequality, multivalued variational inequality and general variational …

Convergence of two-step inertial Tseng's extragradient methods for quasimonotone variational inequality problem

VT Dung, PK Anh, DV Thong - Communications in Nonlinear Science and …, 2024 - Elsevier
This paper introduces two-step inertial Tseng's extragradient methods with self-adaptive
step sizes for solving quasimonotone variational inequalities in real Hilbert spaces. Under …

Modified subgradient extragradient algorithms with a new line-search rule for variational inequalities

XJ Long, J Yang, YJ Cho - Bulletin of the Malaysian Mathematical …, 2023 - Springer
In this paper, we introduce a modified subgradient extragradient algorithm with a new line-
search rule for solving pseudomonotone variational inequalities with non-Lipschitz …

Iterative approximation of common solution to variational inequality problems in Hadamard manifold

OK Oyewole, HA Abass, Y Shehu - Applicable Analysis, 2024 - Taylor & Francis
The aim of this paper is to introduce a forward-backward-forward algorithm with inertial
extrapolation to solve the problem of finding a common solution to the variational inequality …

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 …