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
Convergence Theorems for Common Fixed Points of Nonself Asymptotically Nonextensive Mappings
โ Scribed by Liu, Ying
- Book ID
- 121004321
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 376 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
E be a uniformly convex Banach space, K a nonempty closed convex subset of E and T : K -K an asymptotically nonexpansive mapping with a nonempty fixed-point set. Weak and strong convergence theorems for the iterative approximation of fixed points of T are proved. Our results show that the boundednes