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

Abstract : 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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Preprints, Working Papers, ...

Cited literature [9 references]

https://hal.archives-ouvertes.fr/hal-00418356
Contributor : Jean-Philippe Chancelier <>
Submitted on : Friday, September 18, 2009 - 10:41:19 AM
Last modification on : Friday, November 29, 2019 - 12:14:23 PM
Long-term archiving on: : Tuesday, June 15, 2010 - 11:52:14 PM

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non-exp-map.pdf
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### Identifiers

• HAL Id : hal-00418356, version 1
• ARXIV : 0909.3393

### Citation

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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