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. (2014). Merit functions: a bridge between optimization and equilibria. 4OR, 12(1), 1-33 [10.1007/s10288-014-0256-5].

Merit functions: a bridge between optimization and equilibria

Passacantando, M
2014

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.
Articolo in rivista - Articolo scientifico
Descent methods; Equilibrium problems; Gap functions; Merit functions; Variational inequalities;
English
2014
4OR
12
1
1
33
partially_open
Pappalardo, M., Mastroeni, G., Passacantando, M. (2014). Merit functions: a bridge between optimization and equilibria. 4OR, 12(1), 1-33 [10.1007/s10288-014-0256-5].
File in questo prodotto:
File Dimensione Formato  
Pappalardo-2014-4OR-AAM.pdf

accesso aperto

Descrizione: Invited Survey
Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 631.2 kB
Formato Adobe PDF
631.2 kB Adobe PDF Visualizza/Apri
Pappalardo-2014-4OR-VoR.pdf

Solo gestori archivio

Descrizione: Invited Survey
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 1.33 MB
Formato Adobe PDF
1.33 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/391557
Citazioni
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 13
Social impact