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 …

Single projection method for pseudo-monotone variational inequality in Hilbert spaces

Y Shehu, QL Dong, D Jiang - Optimization, 2019 - Taylor & Francis
In this paper, a projection-type approximation method is introduced for solving a variational
inequality problem. The proposed method involves only one projection per iteration and the …

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 …

Convergence of an extragradient-type method for variational inequality with applications to optimal control problems

PT Vuong, Y Shehu - Numerical Algorithms, 2019 - Springer
Our aim in this paper is to introduce an extragradient-type method for solving variational
inequality with uniformly continuous pseudomonotone operator. The strong convergence of …

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 …

Weak and strong convergence theorems for variational inequality problems

DV Thong, DV Hieu - Numerical Algorithms, 2018 - Springer
In this paper, we study the weak and strong convergence of two algorithms for solving
Lipschitz continuous and monotone variational inequalities. The algorithms are inspired by …

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 …

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 …

Quasi-inertial Tseng's extragradient algorithms for pseudomonotone variational inequalities and fixed point problems of quasi-nonexpansive operators

TY Zhao, DQ Wang, LC Ceng, L He… - Numerical Functional …, 2020 - Taylor & Francis
In a real Hilbert space, let the VIP indicate a variational inequality problem with Lipschitzian,
pseudomonotone operator, and let the FPP denote a fixed-point problem of a quasi …

Iterative method with inertial for variational inequalities in Hilbert spaces

Y Shehu, P Cholamjiak - Calcolo, 2019 - Springer
Strong convergence property for Halpern-type iterative method with inertial terms for solving
variational inequalities in real Hilbert spaces is investigated under mild assumptions in this …