This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality problem, combing the extragradient method for variational inequalities with an approximate PPM for equilibrium problems. Next we develop another algorithm based on an alternate approximate PPM for finding a common solution of two different equilibrium problems. We prove the global convergence of both algorithms under pseudomonotonicity assumptions.

Mordukhovich, B., Panicucci, B., Pappalardo, M., Passacantando, M. (2012). Hybrid proximal methods for equilibrium problems. OPTIMIZATION LETTERS, 6(7), 1535-1550 [10.1007/s11590-011-0348-5].

Hybrid proximal methods for equilibrium problems

Passacantando, M
2012

Abstract

This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality problem, combing the extragradient method for variational inequalities with an approximate PPM for equilibrium problems. Next we develop another algorithm based on an alternate approximate PPM for finding a common solution of two different equilibrium problems. We prove the global convergence of both algorithms under pseudomonotonicity assumptions.
Articolo in rivista - Articolo scientifico
Equilibrium problems; Extragradient methods; Hybrid proximal point methods; Variational analysis; Variational inequalities;
English
14-giu-2011
2012
6
7
1535
1550
partially_open
Mordukhovich, B., Panicucci, B., Pappalardo, M., Passacantando, M. (2012). Hybrid proximal methods for equilibrium problems. OPTIMIZATION LETTERS, 6(7), 1535-1550 [10.1007/s11590-011-0348-5].
File in questo prodotto:
File Dimensione Formato  
Mordukhovich-2012-Optim Letters-AAM.pdf

accesso aperto

Descrizione: Original Article
Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 245.39 kB
Formato Adobe PDF
245.39 kB Adobe PDF Visualizza/Apri
Mordukhovich-2012-Optim Letters-VoR.pdf

Solo gestori archivio

Descrizione: Original Article
Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 468.63 kB
Formato Adobe PDF
468.63 kB 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/10281/391552
Citazioni
  • Scopus 17
  • ???jsp.display-item.citation.isi??? 15
Social impact