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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 process.

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Detalles Bibliográficos
Principais autores: Wataru Takahashi, Sachiko Atsushiba
Formato: Artigo
Idioma:Inglês
Publicado: SpringerOpen 2005-10-01
Series:Fixed Point Theory and Applications
Acceso en liña:http://dx.doi.org/10.1155/FPTA.2005.343
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