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Asymptotic behavior for asymptotically nonexpansive mappings

โœ Scribed by Pei-Kee Lin

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
256 KB
Volume
26
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

Weak convergence theorems for asymptotic
Weak convergence theorems for asymptotically nonexpansive nonself-mappings
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Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T 1 , T 2 : K โ†’ E be two asymptotically nonexpansive nonself-mappings with sequences where {ฮฑ n } and {ฮฒ n } are two real sequences in [ฯต, 1 -ฯต] for some ฯต > 0. If E

Asymptotically Nonexpansive Mappings in
Asymptotically Nonexpansive Mappings in Modular Function Spaces
โœ T. Dominguez-Benavides; M.A. Khamsi; S. Samadi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 121 KB

In this paper, we prove that if ฯ is a convex, ฯƒ-finite modular function satisfying a 2 -type condition, C a convex, ฯ-bounded, ฯ-a.e. compact subset of L ฯ , and T C โ†’ C a ฯ-asymptotically nonexpansive mapping, then T has a fixed point. In particular, any asymptotically nonexpansive self-map define