On cector variational inequality

摘要

In this paper, we give relationships among three kinds of vector variational inequalities (SVVI), (VVI) and (WVVI), and a variational inequality (VVI)$_s$, and then obtain the existence theorems for (VVI) and (WVVI) by the scalarization method. Also, we establish equivalent relations among the special cases of (VVI) and multiobjective optimization problems.