Systems of generalized variational inequalities and their applications∗
Qamrul Hasan Ansari, Jen Chih Yao · Applicable Analysis · 2000
In this paper, we first introduce the system of generalized implicit variational inequalities and prove the existence of its solution. Then we derive existence results for systems of generalized variational and variational like inequalities and system of variational inequalities. As applications, we establish some existence results for a solution to the system of optimization problems which includes the Nash equilibrium problem as a special case