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A stable convergence theorem for infinite products of nonexpansive mappings in Banach spaces

✍ Scribed by Simeon Reich; Alexander J. Zaslavski

Book ID
107508518
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
143 KB
Volume
8
Category
Article
ISSN
1661-7738

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πŸ“œ SIMILAR VOLUMES

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In an infinite-dimensional Hilbert space, the normal Mann's iteration algorithm has only weak convergence, in general, even for nonexpansive mappings. In order to get a strong convergence result, we modify the normal Mann's iterative process for an infinite family of nonexpansive mappings in the fra

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The purpose of this paper is to study Reich's strongly convergence theorems for asymptotically nonexpansive mappings in Banach spaces. Under some general conditions an affirmative partial answer to Reich's open question is given and some recent results are improved and generalized.