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Convergence of Ishikawa Iterates of Quasi-Nonexpansive Mappings

โœ Scribed by M.K. Ghosh; Lokenath Debnath

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
113 KB
Volume
207
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Convergence of the Ishikawa Iteration Pr
Convergence of the Ishikawa Iteration Process for Nonexpansive Mappings
โœ Lei Deng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB

ร„ 4 ร„ 4 ร„ 4 mapping. Given a sequence x in D and two real sequences t and s ร„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n ยช ฯฑn 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.