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Pré-Publication, Document De Travail Année : 2009

A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces

Résumé

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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Dates et versions

hal-00418356 , version 1 (18-09-2009)

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Jean-Philippe Chancelier. A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces. 2009. ⟨hal-00418356⟩
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