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| HAL : hal-00418356, version 1 |
| arXiv : 0909.3393 |
| Fiche détaillée |  Récupérer au format |
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| A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces |
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| Jean-Philippe Chancelier 1 |
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| (18/09/2009) |
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| The aim of this paper is to investigate the links between ${\cal T}_C$-class algorithms, CQ Algorithm and shrinking projection methods. We show that strong convergence of these algorithms are related to coherent ${\cal T}_C$-class sequences of mapping. Some examples dealing with nonexpansive finite set of mappings and nonexpansive semigroups are given. They extend some existing theorems. |
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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 – CQ algorithm – Hougazeau method – schrinking projection |
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| hal-00418356, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00418356 | |
| oai:hal.archives-ouvertes.fr:hal-00418356 | |
| Contributeur : Jean-Philippe Chancelier | |
| Soumis le : Vendredi 18 Septembre 2009, 10:41:19 | |
| Dernière modification le : Vendredi 18 Septembre 2009, 10:49:38 | |
