In this paper we use a matrix approach to approximate solutionsof variational inequalities in Hilbert spaces. The studied methodscombine new or well known iterative methods (as the originalMann's method) with regularized processes that involve regularmatrices in the sense of Toeplitz.We obtain ergodic type results and convergence.

Ergodic approximations via matrix regularization approach

MARINO, Giuseppe;CIANCIARUSO, Filomena;
2015-01-01

Abstract

In this paper we use a matrix approach to approximate solutionsof variational inequalities in Hilbert spaces. The studied methodscombine new or well known iterative methods (as the originalMann's method) with regularized processes that involve regularmatrices in the sense of Toeplitz.We obtain ergodic type results and convergence.
2015
Monotone variational inequality; Cesaro's means; Toeplitz matrix
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/140968
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