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Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces

DOI: 10.1155/fpta.2005.343

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Abstract:

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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