Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities

DV Thong, PT Vuong - Optimization, 2019 - Taylor & Francis
We propose two modified Tseng's extragradient methods (also known as Forward–
Backward–Forward methods) for solving non-Lipschitzian and pseudo-monotone variational …

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 …

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 …

Modified Tseng's extragradient algorithms for variational inequality problems

DV Thong, D Van Hieu - Journal of Fixed Point Theory and Applications, 2018 - Springer
In this work, our interest is in investigating the monotone variational inequality problems in
the framework of real Hilbert spaces. For solving this problem, we introduce two modified …

[HTML][HTML] Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators

G Cai, Y Shehu, OS Iyiola - Journal of Industrial and Management …, 2022 - aimsciences.org
In this paper, we propose a new inertial Tseng's extragradient iterative algorithm for solving
variational inequality problems of pseudo-monotone and non-Lipschitz operator in real …

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 …

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 …

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 …

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 …

[PDF][PDF] Inertial extragradient methods for solving pseudomonotone variational inequalities with non-Lipschitz mappings and their optimization applications

B Tan, SY Cho - Set-Valued Anal. Optim, 2021 - asvao.biemdas.com
In this paper, four extragradient-type algorithms with inertial terms are presented for solving
the variational inequality problem with a pseudomonotone and non-Lipschitz continuous …