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 optimization
- Vector variational inequality
ASJC Scopus subject areas
- Applied Mathematics
- Control and Optimization
- Management Science and Operations Research