Strong convergence of modified Ishikawa iteration for two asymptotically nonexpansive mappings and semigroups
โ Scribed by Somyot Plubtieng; Kasamsuk Ungchittrakool
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 246 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
ร 4 ร 4 ร 4 mapping. Given a sequence x in D and two real sequences t and s ร 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n ยช ฯฑn n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.
In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions which solves a