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The general iterative methods for nonexpansive mappings in Banach spaces

✍ Scribed by Rattanaporn Wangkeeree; Narin Petrot; Rabian Wangkeeree


Publisher
Springer US
Year
2010
Tongue
English
Weight
247 KB
Volume
51
Category
Article
ISSN
0925-5001

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πŸ“œ SIMILAR VOLUMES


A general iterative algorithm for nonexp
✍ Ming Tian πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 250 KB

Let H be a real Hilbert space. Suppose that T is a nonexpansive mapping on H with a fixed point, f is a contraction on H with coefficient 0 < Ξ± < 1, and 2 )/Ξ± = Ο„ /Ξ±. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x ∈ F ix (T ), which

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In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the general iteration scheme under some mild conditions. The results improve and extend the corresponding res

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✍ Koji Aoyama; Fumiaki Kohsaka πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 202 KB

We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach