A globally convergent descent method for nonsmooth variational inequalities |
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Authors: | Barbara Panicucci Massimo Pappalardo Mauro Passacantando |
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Institution: | (1) Department of Applied Mathematics, University of Pisa, via Buonarroti 1/c, 56127 Pisa, Italy |
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Abstract: | We propose a descent method via gap functions for solving nonsmooth variational inequalities with a locally Lipschitz operator.
Assuming monotone operator (not necessarily strongly monotone) and bounded domain, we show that the method with an Armijo-type
line search is globally convergent. Finally, we report some numerical experiments.
This work has been supported by the National Research Program PRIN/2005017083 “Innovative Problems and Methods in Nonlinear
Optimization”. |
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Keywords: | Nonsmooth variational inequality Monotone map Gap function Descent method |
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