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Generalized Monotonicities and Its Applications to the System of General Variational Inequalities

Khushbu, Zubair Khan

In this paper, we introduce and study the system of general variational inequalities which is equivalent to the general variational inequality problem over the product of sets. The usual concept of monotonicity has been extended here. We establish existence results for the solution of general variational inequality problem over the product of sets in the setting of real Hausdroff topological vector space.