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| HAL : hal-00193621, version 1 |
| arXiv : 0712.0528 |
| Fiche détaillée |  Récupérer au format |
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| ${\cal T}$-class algorithms for pseudocontractions and $\kappa$-strict pseudocontractions in Hilbert spaces |
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| Jean-Philippe Chancelier 1 |
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| (04/12/2007) |
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| In this paper we study iterative algorithms for finding a common element of the set of fixed points of $\kappa$-strict pseudocontractions or finding a solution of a variational inequality problem for a monotone, Lipschitz continuous mapping. The last problem being related to finding fixed points of pseudocontractions. These algorithms were already studied in [G.L. Acedo, H.-K. Xu] and [N. Nadezhkina, W. Takahashi] but our aim here is to provide the links between these know algorithms and the general framework of ${\cal T}$-class algorithms studied in [H.H. Bauschke, P.L. Combettes]. |
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| 1 : | Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique (CERMICS) |
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INRIA – Ecole des Ponts ParisTech |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
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| Nonexpansive mappings – Fixed point – Fejer Monotone. |
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| hal-00193621, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00193621 | |
| oai:hal.archives-ouvertes.fr:hal-00193621 | |
| Contributeur : Jean-Philippe Chancelier | |
| Soumis le : Mardi 4 Décembre 2007, 11:06:33 | |
| Dernière modification le : Mardi 4 Décembre 2007, 15:24:54 | |
