%0 Journal Article %T A note on strong convergence to common fixed points of nonexpansive mappings in Hilbert spaces %A Jean-Philippe Chancelier %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0909.3393v1