An algorithmic approach to prox-regular variational inequalities

Abdellatif Moudafi

doi:10.1016/j.amc.2003.06.003

Journal Articles Applied Mathematics and Computation Year : 2004

An algorithmic approach to prox-regular variational inequalities

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Abdellatif Moudafi

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Groupe de Recherche en Informatique et Mathématiques Appliquées Antilles-Guyane

Abstract

Relying on prox-regularity we suggest and analyze a class of iterative schemes for solving nonconvex variational inequalities, our result can be considered as an improvement and a significant extension of previously known results in this field.

Keywords

Variational inequalities Prox-regularity Proximal subdifferential Proximal mapping Lipschitz continuity Prox-gradient method Convergence

Domains

Optimization and Control [math.OC]

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https://hal.univ-antilles.fr/hal-00780630

Submitted on : Thursday, January 24, 2013-3:16:03 PM

Last modification on : Friday, April 5, 2024-4:14:37 PM

Dates and versions

hal-00780630 , version 1 (24-01-2013)

Identifiers

HAL Id : hal-00780630 , version 1
DOI : 10.1016/j.amc.2003.06.003

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Abdellatif Moudafi. An algorithmic approach to prox-regular variational inequalities. Applied Mathematics and Computation, 2004, 155 (3), pp.845-852. ⟨10.1016/j.amc.2003.06.003⟩. ⟨hal-00780630⟩

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An algorithmic approach to prox-regular variational inequalities

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