Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

We introduce an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly convex Banach space which satisfies Opial's condition. Further, we discuss the strong convergence of the implicit iterative proc...

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Bibliographic Details
Main Authors: Wataru Takahashi, Sachiko Atsushiba
Format: Article
Language:English
Published: SpringerOpen 2005-10-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA.2005.343