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

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 …

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 …

In this paper, we introduce a new algorithm which combines the inertial contraction
projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4: 506–510 …

In this paper, two new algorithms are introduced for solving a pseudomontone variational
inequality problem with a Lipschitz condition in a Hilbert space. The algorithms are …

In this paper, we study a classical monotone and Lipschitz continuous variational inequality
and fixed point problems defined on a level set of a convex function in the framework of …

In this paper, we introduce a shrinking projection method of an inertial type with self-
adaptive step size for finding a common element of the set of solutions of a split generalized …

In solving the split variational inequality problems in real Hilbert spaces, the co-coercive
assumption of the underlying operators is usually required and this may limit its usefulness …

In this work, we investigate pseudomonotone variational inequality problems in a real Hilbert
space and propose two projection-type methods with inertial terms for solving them. The first …

In this book, we study approximate solutions of common fixed point and convex feasibility
problems in the presence of perturbations. A convex feasibility problem is to find a point …