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Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings

✍ Scribed by G. Emmanuele

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
372 KB
Volume
6
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

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Convergence of the Ishikawa Iteration Process for Nonexpansive Mappings
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Γ„ 4 Γ„ 4 Γ„ 4 mapping. Given a sequence x in D and two real sequences t and s Γ„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n Βͺ Ο±n 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.

Convergence of Ishikawa Iterates of Quas
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✍ M.K. Ghosh; Lokenath Debnath πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 113 KB

This paper deals with a necessary and sufficient condition for the convergence of Ishikawa iterates of quasi-nonexpansive mapping in a Banach space. The convergence of Ishikawa iterates for nonexpansive mappings in a uniformly convex Banach space is also discussed.