The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
β Scribed by Lu-Chuan Ceng; Hong-Kun Xu; Jen-Chih Yao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 278 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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
In this paper, we discuss the strong convergence of the viscosity approximation method, in Hilbert spaces, relatively to the computation of fixed points of operators in the wide class of quasi-nonexpansive mappings. Our convergence results improve previously known ones obtained for the class of none