ON VECTOR VARIATIONAL INEQUALITY

Gue Myung Lee, Ang Kim, Byung Soo Lee, Sung Jin Cho · Bulletin of the Korean Mathematical Society · 1996

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.

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