Strong and △-convergence theorems for total asymptotically nonexpansive nonself mappings inspaces
✍ Scribed by Yang, Li; Zhao, Fu
- Book ID
- 125396832
- Publisher
- Hindawi Publishing Corporation
- Year
- 2013
- Tongue
- English
- Weight
- 295 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1025-5834
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📜 SIMILAR VOLUMES
In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that
Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T 1 , T 2 : K → E be two asymptotically nonexpansive nonself-mappings with sequences where {α n } and {β n } are two real sequences in [ϵ, 1 -ϵ] for some ϵ > 0. If E