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arXiv · 0909.3393

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

Jean-Philippe Chancelier
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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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Jean-Philippe Chancelier. 2009-09-18. A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces. https://arxiv.org/abs/0909.3393

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