Existence of solutions to implicit vector variational inequalities. (English) Zbl 1030.49006

Summary: We study a class of implicit vector variational inequalities which contain implicit variational inequalities and generalized quasivariational inequalities as special cases. By employing the Fan-Kakutani fixed-point theorem and the Oettli scalarization procedure, respectively, we establish several existence results for implicit vector variational inequalities.


49J40 Variational inequalities
47J20 Variational and other types of inequalities involving nonlinear operators (general)


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