In this paper, we propose two methods for solving variational inequalities. In the first method,
we modified the extragradient method by using a new step size while the second method …

In this paper, an inexact proximal point method for variational inequalities in Hadamard
manifolds is introduced and its convergence properties are studied. To present our method …

In this paper, we extend the extragradient projection method proposed in (Wang et al. in J.
Optim. Theory Appl. 119: 167-183, 2003) for the classical variational inequalities to the …

In this paper, we introduce two subgradient extragradient-type algorithms for solving
variational inequality problems in the real Hilbert space. The first one can be applied when …

The concept of pseudomonotone vector field on Hadamard manifold is introduced. A variant
of Korpelevich's method for solving the variational inequality problem is extended from …

The purpose of this paper is to introduce a new extragradient-like algorithm for solving a
variational inequality problem with a pseudo-monotone and Lipschitz continuous mapping …

A survey of the existing results in the literature shows that several of the results on
variational inequality problem were established under some stringent conditions and …

This article aims to research iterative schemes for searching a solution of a quasimonotone
variational inequality in a Hilbert space. For solving this quasimonotone variational …

We propose and study two new methods based on the golden ratio technique for
approximating solutions to variational inequality problems in Hilbert space. The first method …