Characterizing the Nonemptiness and Compactness of the Solution Set of a Vector Variational Inequality by Scalarization
In this paper, the nonemptiness and compactness of the solution set of a pseudomonotone vector variational inequality defined in a finite-dimensional space are characterized in terms of that of the solution sets of a family of linearly scalarized variational inequalities.
solution set vector variational inequality scalarization pseudomonotonicity vector optimization