In this work, we study the computational complexity of reducing the squared gradient
magnitude for smooth minimax optimization problems. First, we present algorithms with …

This paper is concerned with some new projection methods for solving variational inequality
problems with monotone and Lipschitz-continuous mapping in Hilbert space. First, we …

The extragradient (EG), introduced by GM Korpelevich in 1976, is a well-known method to
approximate solutions of saddle-point problems and their extensions such as variational …

The paper presents a fully adaptive algorithm for monotone variational inequalities. In each
iteration the method uses two previous iterates for an approximation of the local Lipschitz …

We propose a modified extragradient method with dynamic step size adjustment to solve
variational inequalities with monotone operators acting in a Hilbert space. In addition, we …

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 …

An improved variational inequality strategy for dealing with variational inequality in a Hilbert
space is proposed in this article as an alternative; if Hilbert space is used as the domain of …

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 …

Uncertainty Quantification (UQ) is an emerging and extremely active research discipline
which aims to quantitatively treat any uncertainty in applied models. The primary objective of …

Equilibrium Problems and Applications develops a unified variational approach to deal with
single-valued, set-valued and quasi-equilibrium problems. The authors promote original …