Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings
โ Scribed by Pei-Kee Lin; Kok-Keong Tan; Hong-Kun Xu
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 788 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ 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 โ E be two asymptotically nonexpansive nonself-mappings with sequences where {ฮฑ n } and {ฮฒ n } are two real sequences in [ฯต, 1 -ฯต] for some ฯต > 0. If E