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Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition

✍ Scribed by Jarosław Górnicki


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
302 KB
Volume
161
Category
Article
ISSN
0022-247X

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Strong Convergence of Averaged Approxima
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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