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A Variable Krasnoselski-Mann Algorithm for a New Class of Fixed Point Problems

Abdellatif Moudafi 1
1 CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée
Abstract : We study the convergence of a variable version of the Krasnoselski-Mann algorithm applied to a primal dual fixed point problem. The link with Spingarn's partial inverse method is made, and an application to feasibility problems and mathematical programming is also proposed.
Keywords : Firmly nonexpansive mapping Fixed point K-M algorithm Partial inverse
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https://hal.univ-antilles.fr/hal-00779984
Contributor : Pamphile Isch <>
Submitted on : Tuesday, January 22, 2013 - 7:34:33 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Abdellatif Moudafi. A Variable Krasnoselski-Mann Algorithm for a New Class of Fixed Point Problems. Numerical Functional Analysis and Optimization, Taylor & Francis, 2009, 30 (5-6), pp.582-590. ⟨10.1080/01630560902987436⟩. ⟨hal-00779984⟩

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