Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces

Using the convex combination based on Bregman distances due to Censor and Reich, we define an operator from a given family of relatively nonexpansive mappings in a Banach space. We first prove that the fixed-point set of this operator is identical to the set of all common fixed points of the mapping...

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Bibliographic Details
Main Authors: Fumiaki Kohsaka, Wataru Takahashi
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2007/21972