Weak convergence of iterative methods for solving quasimonotone variational inequalities

H Liu, J Yang - Computational Optimization and Applications, 2020 - Springer
In this work, we introduce self-adaptive methods for solving variational inequalities with
Lipschitz continuous and quasimonotone mapping (or Lipschitz continuous mapping without …

Modified subgradient extragradient method for variational inequality problems

DV Thong, D Van Hieu - Numerical Algorithms, 2018 - Springer
In this paper, we introduce an algorithm as combination between the subgradient
extragradient method and inertial method for solving variational inequality problems in …

Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

GN Ogwo, TO Alakoya, OT Mewomo - Optimization, 2023 - Taylor & Francis
In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms
with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed …

Strong convergence result for solving monotone variational inequalities in Hilbert space

J Yang, H Liu - Numerical Algorithms, 2019 - Springer
In this paper, we study strong convergence of the algorithm for solving classical variational
inequalities problem with Lipschitz-continuous and monotone mapping in real Hilbert space …

Modified subgradient extragradient algorithms for solving monotone variational inequalities

J Yang, H Liu, Z Liu - Optimization, 2018 - Taylor & Francis
In this paper, we introduce two new algorithms for solving classical variational inequalities
problem with Lipschitz continuous and monotone mapping in real Hilbert space. We modify …

Strong convergence results for quasimonotone variational inequalities

TO Alakoya, OT Mewomo, Y Shehu - Mathematical Methods of Operations …, 2022 - Springer
A survey of the existing literature reveals that results on quasimonotone variational
inequality problems are scanty in the literature. Moreover, the few existing results are either …

[PDF][PDF] Iterative approximation of fixed point problems and variational inequality problems on Hadamard manifolds

HM He, JG Peng, HY Li - UPB Bull. Ser. A, 2022 - scientificbulletin.upb.ro
In this paper, we propose a new iterative algorithm for finding the common solution of the
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …

[HTML][HTML] Inertial extragradient algorithms for strongly pseudomonotone variational inequalities

DV Thong, D Van Hieu - Journal of Computational and Applied …, 2018 - Elsevier
The purpose of this paper is to study and analyze two different kinds of inertial type iterative
methods for solving variational inequality problems involving strongly pseudomonotone and …

Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

DV Thong, DV Hieu - Numerical Algorithms, 2019 - Springer
In this paper, basing on the subgradient extragradient method and inertial method with line-
search process, we introduce two new algorithms for finding a common element of the …

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 …