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Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces

✍ Scribed by Yisheng Song; Rudong Chen; Haiyun Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
161 KB
Volume
66
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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Let E be a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E \* , and K be a nonempty closed convex subset of E. Suppose that {T n } (n = 1, 2, . . .) is a uniformly asymptotically regular sequence of nonexpansive mappings from K into itself such t

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Let C be a closed, convex subset of a uniformly convex Banach space whose norm is uniformly Ga^teaux differentiable and let T be an asymptotically nonexpansive mapping from C into itself such that the set F(T ) of fixed points of T is nonempty. In this paper, we show that F(T ) is a sunny, nonexpans