On the existence of solutions for the variational inequality problem V I(A, ψ, φ, g, K), By Mohsen Alimohammady

Research

Title	On the existence of solutions for the variational inequality problem V I(A, ψ, φ, g, K)
Type	Article
Keywords	Approximating sequence, Convex hull, GKKM mapping, Type g-ql, Variational inequality and Well-posedness .
Journal	international journal of nonlinear analysis and applications
DOI	10.22075/IJNAA.2021.23099.2477
Researchers	Mohsen Alimohammady (First researcher) , Maisam Gilak (Second researcher)

Abstract

In this paper, we are concerned with the existence of a solution u ∈ K for the variational inequality problem V I(A, ψ, φ, g, K). Furthermore, we propose some conditions that ensure the well-posedness of this problem. We study an operator type g − ql which extends the linear problem. Finally, we investigate the existence of solutions for general vector variational inequalities in the inclusion form.