Some results on subanalytic variational inclusions

Catherine Cabuzel 1 Alain Piétrus 1
1 LAMIA - Laboratoire de Mathématiques Informatique et Applications
Abstract : In this chapter, the aim is the solving of variational inclusions fo the form 0_in f(x)+F(x), where f is a subanalytic and locally Lipschitz function, F is a set-valued map with closed graph. The methods are developped using the metric regularity of (f+F) or the Aubin property of (f+F)^{-1}, and often lead to a superlinear convergence.
Keywords : Subanalytic function set-valued map iterative method Aubin property metric regularity
Type de document :
Chapitre d'ouvrage
I. Zelinka, V. Snasel, A. Abraham. Handbook of optimization, from classical to modern approach, Springer, pp.51-72, 2013, Intelligent Systems Reference Library, 978-3-642-30503-0. <10.1007/978-3-642-30504-7-38>
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https://hal.archives-ouvertes.fr/hal-00757674
Contributeur : Catherine Cabuzel-Zebre <>
Soumis le : mardi 27 novembre 2012 - 14:04:27
Dernière modification le : lundi 21 mars 2016 - 11:28:50

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Catherine Cabuzel, Alain Piétrus. Some results on subanalytic variational inclusions. I. Zelinka, V. Snasel, A. Abraham. Handbook of optimization, from classical to modern approach, Springer, pp.51-72, 2013, Intelligent Systems Reference Library, 978-3-642-30503-0. <10.1007/978-3-642-30504-7-38>. <hal-00757674>

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