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

Research paper by Jean-Philippe Chancelier

Indexed on: 18 Sep '09Published on: 18 Sep '09Published in: Mathematics - Optimization and Control



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.