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EnglishIn 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.
| Autori interni: | |
| Autori: | Pappalardo, Massimo; Mastroeni, Giandomenico; Passacantando, Mauro |
| Titolo: | Merit functions: a bridge between optimization and equilibria |
| Anno del prodotto: | 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. |
| Digital Object Identifier (DOI): | 10.1007/s10479-015-2013-3 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Merit_functions_ANOR.pdf | Versione finale editoriale | NON PUBBLICO - Accesso privato/ristretto | Utenti riconosciuti Richiedi una copia |
http://hdl.handle.net/11568/755196
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