Mann and Ishikawa iterations with errors for non-lipschitzian mappings in Banach spaces
โ Scribed by Gang Eun Kim; Tae Hwa Kim
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 293 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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, which generalizes the recent results due to Huang .
๐ SIMILAR VOLUMES
Suppose C is a nonempty closed convex subset of a real uniformly convex Banach space X with P is a nonexpansive retraction of X onto C. Let T : C --\* X be an asymptotically nonexpansive in the intermediate sense nonself-mapping. In this paper, we introduced the three-step iterative sequence for suc
Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K โ P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V
The purpose of this paper is to study the convergence of the Ishikawa and Mann iterative sequences with mixed errors to approximate the solutions of nonlinear operator equations with perturbed maccretive mappings in arbitrary Banach spaces. The results presented in this paper extend and improve some