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Existence of solutions of a new system of generalized variational inequalities in Banach spaces

Existence of solutions of a new system of generalized variational inequalities in Banach spaces

In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and Kakutani-Fan-Glicksberg fixed point theorem, we establish some new existence theorems of solutions for two classes of generalized set-valued variational inequalities …