The paper deals with the gap function approach for equilibrium problems with locally Lipschitz data. The gap function inherits the locally Lipschitz continuity of the data. Hence, the connections between its generalized directional derivatives, monotonicity conditions on the equilibrium bifunction and descent properties, can be analyzed. In turn, this analysis leads to devise two descent methods. Finally, the results of preliminary numerical tests are reported.

Bigi, G., Pappalardo, M., Passacantando, M. (2016). Optimization Tools for Solving Equilibrium Problems with Nonsmooth Data. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 171(3), 887-905 [10.1007/s10957-016-0974-2].

Optimization Tools for Solving Equilibrium Problems with Nonsmooth Data

Passacantando, M
2016

Abstract

The paper deals with the gap function approach for equilibrium problems with locally Lipschitz data. The gap function inherits the locally Lipschitz continuity of the data. Hence, the connections between its generalized directional derivatives, monotonicity conditions on the equilibrium bifunction and descent properties, can be analyzed. In turn, this analysis leads to devise two descent methods. Finally, the results of preliminary numerical tests are reported.
No
Articolo in rivista - Articolo scientifico
Scientifica
Descent methods; Gap functions; Monotonicity; Nonsmooth equilibrium problem;
English
887
905
19
Bigi, G., Pappalardo, M., Passacantando, M. (2016). Optimization Tools for Solving Equilibrium Problems with Nonsmooth Data. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 171(3), 887-905 [10.1007/s10957-016-0974-2].
Bigi, G; Pappalardo, M; Passacantando, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/392098
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