A New Composite General Iterative Scheme for Nonexpansive Semigroups in Banach Spaces

We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the purposed iterative approximation method is established under some c...

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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences
Main Authors: Pongsakorn Sunthrayuth, Poom Kumam
Format: Article
Language:English
Published: Wiley 2011-01-01
Online Access:http://dx.doi.org/10.1155/2011/560671
Description
Summary:We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the purposed iterative approximation method is established under some certain control conditions. Our results improve and extend announced by many others.
ISSN:0161-1712
1687-0425