On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces

Abdellatif Moudafi

doi:10.1016/j.jmaa.2009.06.005

Journal Articles Journal of Mathematical Analysis and Applications Year : 2009

On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces

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Abdellatif Moudafi

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Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée

Abstract

Two splitting procedures for solving equilibrium problems involving the sum of two bifunctions are proposed and their convergence is established under mild assumptions.

Keywords

Equilibrium problem Splitting algorithm Optimization Variational inequality Fixed-point Proximal algorithm Ergodic convergence

Domains

Optimization and Control [math.OC]

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https://hal.univ-antilles.fr/hal-00779982

Submitted on : Tuesday, January 22, 2013-7:25:45 PM

Last modification on : Monday, May 23, 2022-2:06:49 PM

Dates and versions

hal-00779982 , version 1 (22-01-2013)

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HAL Id : hal-00779982 , version 1
DOI : 10.1016/j.jmaa.2009.06.005

Cite

Abdellatif Moudafi. On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces. Journal of Mathematical Analysis and Applications, 2009, 359 (2), pp.508-513. ⟨10.1016/j.jmaa.2009.06.005⟩. ⟨hal-00779982⟩

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On the convergence of splitting proximal methods for equilibrium problems in Hilbert spaces

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