A midpoint method for generalized equations under mild differentiability condition

Abstract : The aim of this study is the approximation of a solution x* of a ganeralized equation 0 in f(x)+F(x) in Banach spaces, where f is a single-valued function whose second order Frechet derivative satisfies an Hölder condition and F stands for a set-valed map with closed graph. Using a fixed point theorem and the Aubin property of F, we show the existence and the superquadratic convergence of a sequence derived from a midpoint method.
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https://hal.archives-ouvertes.fr/hal-00642118
Contributor : Catherine Cabuzel-Zebre <>
Submitted on : Thursday, November 17, 2011 - 1:17:46 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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  • HAL Id : hal-00642118, version 1

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Catherine Cabuzel. A midpoint method for generalized equations under mild differentiability condition. Acta Applicandae Mathematicae, Springer Verlag, 2011, 116 (3), pp.269-279. ⟨hal-00642118⟩

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