In this paper we propose a descent method for solving variational inequality problems where the underlying operator is nonsmooth, locally Lipschitz, and monotone over a closed, convex feasible set. The idea is to combine a descent method for variational inequality problems whose operators are nonsmooth, locally Lipschitz, and strongly monotone, with the Tikonov-Browder regularization technique. Finally, numerical results are presented and discussed.

Panicucci, B., Pappalardo, M., Passacantando, M. (2008). A descent method for nonsmooth variational inequalities via regularization. WSEAS TRANSACTIONS ON MATHEMATICS, 7(1), 56-65.

A descent method for nonsmooth variational inequalities via regularization

Passacantando, M
2008

Abstract

In this paper we propose a descent method for solving variational inequality problems where the underlying operator is nonsmooth, locally Lipschitz, and monotone over a closed, convex feasible set. The idea is to combine a descent method for variational inequality problems whose operators are nonsmooth, locally Lipschitz, and strongly monotone, with the Tikonov-Browder regularization technique. Finally, numerical results are presented and discussed.
No
Articolo in rivista - Articolo scientifico
Scientifica
Descent method; Gap function; Nonsmooth mapping; Tikhonov-Browder regularization; Variational inequality;
English
56
65
10
Panicucci, B., Pappalardo, M., Passacantando, M. (2008). A descent method for nonsmooth variational inequalities via regularization. WSEAS TRANSACTIONS ON MATHEMATICS, 7(1), 56-65.
Panicucci, B; Pappalardo, M; Passacantando, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/391539
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