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Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces

โœ Scribed by G. Li; J.K. Kim

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
360 KB
Volume
14
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

Let (M,p) be a metric space, T be a Hausdorff topology on M such that (M,p,7) has Oplal's condltlon, and T M H M be a nonexpansive mapping Then for any p-bounded sequence {z~}, the condltlon {Tnxn} IS T-convergent to z for all m E N lmphes that TX = z This T-demlclosedness prmclple IS to be used to study the asymptotic behavior for almost-orbits of nonexpansive mappings and semigroups

๐Ÿ“œ SIMILAR VOLUMES

Approximating fixed points of asymptotic
Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections
โœ Hossein Dehghan ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahas