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

2009/09/18 by Chancelier, Jean-Philippe
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.0909.3393

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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