A New System of Generalized Nonlinear Mixed Variational Inequalities in Hilbert Spaces

We introduce and study a new system of generalized nonlinear mixed variational inequalities in Hilbert spaces. We prove the existence and uniqueness of solutions for this system of generalized nonlinear mixed variational inequalities. We also give the convergence of the Mann iterative sequences with errors for this system of generalized nonlinear mixed variational inequalities in Hilbert spaces.