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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
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Submitted on : Tuesday, November 27, 2012 - 2:04:27 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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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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