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Strong convergence of a general algorithm for nonexpansive mappings in Banach spaces

โœ Scribed by Shuang Wang


Book ID
119906560
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
162 KB
Volume
2012
Category
Article
ISSN
1687-1820

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Strong Convergence of Averaged Approxima
โœ Naoki Shioji; Wataru Takahashi ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 129 KB

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