Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces

A matrix approach to approximating solutionsof variational inequalities in Hilbert spaces is introduced.This approach uses two matrices: one for iteration process and the otherfor regularization. Ergodicity and convergence (both weak and strong)are studied. Our methodscombine new or well known iterative methods (such as the originalMann's method) with regularized processes involved regularmatrices in the sense of Toeplitz.