https://hal.univ-antilles.fr/hal-00776658Moudafi, AbdellatifAbdellatifMoudafiCEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée - UAG - Université des Antilles et de la GuyaneThe asymptotic behavior of an inertial alternating proximal algorithm for monotone inclusionsHAL CCSD2010Maximal monotone operatorsAlternating proximal algorithmAlternating projection methodsJoint minimizationEquilibrium problems[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Unknown, User2013-01-15 21:44:252022-05-23 14:06:492013-01-15 21:44:25enJournal articles10.1016/j.aml.2010.01.0231The aim of this paper is to investigate the asymptotic behavior of an inertial alternating algorithm based on the composition of resolvents of monotone operators. The proposed algorithm is a generalization of those proposed in Attouch et al. (2007) and Bauschke et al. (2005). As a special case, we also recover the classical alternating minimization algorithm (Acker, 1980), which itself is a natural extension of the alternating projection algorithm of von Neumann (1950) [4]. An application to equilibrium problems is also proposed.