In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence. The paper investigates all the relationships between them in the framework of the so-called abstract EP. The analysis is further detailed for variational inequalities and linear EPs, which include also Nash EPs with quadratic payoffs.
Bigi, G., Passacantando, M. (2015). Twelve monotonicity conditions arising from algorithms for equilibrium problems. OPTIMIZATION METHODS & SOFTWARE, 30(2), 323-337 [10.1080/10556788.2014.900552].
Twelve monotonicity conditions arising from algorithms for equilibrium problems
Passacantando, M
2015
Abstract
In the last years many solution methods for equilibrium problems (EPs) have been developed. Several different monotonicity conditions have been exploited to prove convergence. The paper investigates all the relationships between them in the framework of the so-called abstract EP. The analysis is further detailed for variational inequalities and linear EPs, which include also Nash EPs with quadratic payoffs.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Bigi-2015-Optim Methods Soft-VoR.pdf
Solo gestori archivio
Descrizione: Article
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
516.56 kB
Formato
Adobe PDF
|
516.56 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
Bigi-2015-Optim Methods Soft-AAM.pdf
accesso aperto
Descrizione: Article
Tipologia di allegato:
Author’s Accepted Manuscript, AAM (Post-print)
Dimensione
266.26 kB
Formato
Adobe PDF
|
266.26 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
