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Strong convergence theorems for three-step iterations with errors for non-lipschitzian nonself-mappings in Banach spaces

✍ Scribed by S. Plubtieng; R. Wangkeeree

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 409 KB
Volume: 51
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2005.08.035

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✦ Synopsis

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 such map with errors. Moreover, we prove that, if T is completely continuous, then the three-step iterative sequences converges strongly to a fixed point of T. (~) 2006 Elsevier Ltd. All rights reserved.

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