In this paper, we study the problem of finding a common solution of the pseudomonotone
variational inequality problem and fixed point problem for demicontractive mappings. We …

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 …

The main goal of this research is to solve variational inequalities involving quasimonotone
operators in infinite-dimensional real Hilbert spaces numerically. The main advantage of …

In this paper, we introduce an algorithm for solving variational inequalities problem with
Lipschitz continuous and pseudomonotone mapping in Banach space. We modify the …

In this paper, we propose modified Tseng's extragradient methods with self-adaptive step
size for solving a bilevel split variational inequality problem (BSVIP) involving a strongly …

The theory of variational inequalities is an important tool in physics, engineering, finance,
and optimization theory. The projection algorithm and its variants are useful tools for …

In this paper, we construct three new extragradient-type iterative methods for solving
variational inequalities in real Hilbert spaces. The proposed iterative methods are …

In this article, we introduce and study the notion of split generalized equilibrium problem with
multiple output sets (SGEPMOS). We propose a new iterative method that employs viscosity …

In this paper, we construct a new Halpern-type subgradient extragradient iterative algorithm.
The sequence generated by this algorithm converges strongly to a common solution of a …

In this paper, we present two modified algorithms for finding a common element of the
solution set of a quasimonotone variational inequality and the fixed point set of …