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