Stability and convergence of modified Ishikawa iterative sequences with errors in Banach spaces
β Scribed by S. S. Chang; W. H. J. Lee; K. K. Tan
- Publisher
- Akadmiai Kiad
- Year
- 2006
- Tongue
- English
- Weight
- 224 KB
- Volume
- 110
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
C be a nonempty closed convex subset of a uniformly convex Banach space and let T : C ~ C be completely continuous asymptotically nonexpansive in the intermediate sense. In this paper, we prove that the ishikawa (and Mann) iteration process with errors converges strongly to some fixed point of T, wh
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
## Abstract The concept of the operators of generalized monotone type is introduced and iterative approximation methods for a fixed point of such operators by the Ishikawa and Mann iteration schemes {xn} and {yn} with errors is studied. Let __X__ be a real Banach space and __T__ : __D__ β __X__ β 2