A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces
Optimization and Control
2009-09-21 v1
Abstract
The aim of this paper is to investigate the links between -class algorithms, CQ Algorithm and shrinking projection methods. We show that strong convergence of these algorithms are related to coherent -class sequences of mapping. Some examples dealing with nonexpansive finite set of mappings and nonexpansive semigroups are given. They extend some existing theorems.
Keywords
Cite
@article{arxiv.0909.3393,
title = {A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces},
author = {Jean-Philippe Chancelier},
journal= {arXiv preprint arXiv:0909.3393},
year = {2009}
}