Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces
Filomena Cianciaruso, Giuseppe Marino, Luigi Muglia, Hong‐Kun Xu · Optimization · 2015
A matrix approach to approximating solutions of variational inequalities in Hilbert spaces is introduced. This approach uses two matrices: one for iteration process and the other for regularization. Ergodicity and convergence (both weak and strong) are studied. Our methods combine new or well-known iterative methods (such as the original Mann’s method) with regularized processes involved regular matrices in the sense of Toeplitz.