On the Fixed-Point Set of a Family of Relatively Nonexpansive and Generalized Nonexpansive Mappings

We prove that the set of common fixed points of a given countable family of relatively nonexpansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive mapping. This answers Kohsaka and Takahashi's question in positive. We also introduce the concept of s...

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Bibliographic Details
Main Authors: Satit Saejung, Weerayuth Nilsrakoo
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/414232