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Un résultat de convergence des algorithmes parallèles asynchrones. Application aux opérateurs maximaux fortement monotones

Abstract : In this work, we considered a parallel asynchronous algorithms associated with nonlinear and nonexpansive mapping defined in Rn. We showed the convergence result for this algorithms to a fixed point of these applications with respect to the uniform norm. We then proved how this algorithms can be used to calculate the solution of a maximal strongly monotone operator in Rn and calculate the solutions of a maximal monotone operator in the special case of parallel synchronous algorithm of Jacobi. Finally, this results are applied to calculate a minimum of functionals, a saddle point, a solution of convex programming and a solution of variational inequality problem.
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https://tel.archives-ouvertes.fr/tel-00134642
Contributor : Abdenasser Benahmed <>
Submitted on : Monday, March 5, 2007 - 2:04:10 PM
Last modification on : Monday, March 5, 2007 - 9:32:15 PM
Long-term archiving on: : Tuesday, September 21, 2010 - 1:01:11 PM

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Abdenasser Benahmed. Un résultat de convergence des algorithmes parallèles asynchrones. Application aux opérateurs maximaux fortement monotones. Mathématiques [math]. Faculté des Sciences d'Oujda, 2005. Français. ⟨tel-00134642v2⟩

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