In the last decades, many problems involving equilibria, arising from engineering, physics and economics, have been formulated as variational mathematical models. In turn, these models can be reformulated as optimization problems through merit functions. This paper aims at reviewing the literature about merit functions for variational inequalities, quasi-variational inequalities and abstract equilibrium problems. Smoothness and convexity properties of merit functions and solution methods based on them will be presented.

Pappalardo, M., Mastroeni, G., Passacantando, M. (2016). Merit functions: a bridge between optimization and equilibria. ANNALS OF OPERATIONS RESEARCH, 240(1), 271-299 [10.1007/s10479-015-2013-3].

Merit functions: a bridge between optimization and equilibria

Passacantando, M
2016

Abstract

In the last decades, many problems involving equilibria, arising from engineering, physics and economics, have been formulated as variational mathematical models. In turn, these models can be reformulated as optimization problems through merit functions. This paper aims at reviewing the literature about merit functions for variational inequalities, quasi-variational inequalities and abstract equilibrium problems. Smoothness and convexity properties of merit functions and solution methods based on them will be presented.
No
Articolo in rivista - Articolo scientifico
Scientifica
Descent methods; Equilibrium problems; Gap functions; Merit functions; Variational inequalities;
English
271
299
29
Pappalardo, M., Mastroeni, G., Passacantando, M. (2016). Merit functions: a bridge between optimization and equilibria. ANNALS OF OPERATIONS RESEARCH, 240(1), 271-299 [10.1007/s10479-015-2013-3].
Pappalardo, M; Mastroeni, G; Passacantando, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/391560
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