Scalarized system of nonsmooth vector quasi-variational inequalities with applications to Debreu type vector equilibrium problems
Mohammed Alshahrani · Journal of Inequalities and Applications · 2015
In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium problems. Then we establish some existence results for solutions of these systems by using maximal element theorems for a family of set-valued maps.