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Asymptotic fixed point theory and the beer barrel theorem

✍ Scribed by John Mallet-Paret; Roger D. Nussbaum

Book ID
107508510
Publisher
Springer-Verlag
Year
2008
Tongue
English
Weight
508 KB
Volume
4
Category
Article
ISSN
1661-7738

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Weak and strong convergence theorems for fixed points of asymptotically nonexpensive mappings
✍ M.O. Osilike; S.C. Aniagbosor πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 822 KB

E be a uniformly convex Banach space, K a nonempty closed convex subset of E and T : K -K an asymptotically nonexpansive mapping with a nonempty fixed-point set. Weak and strong convergence theorems for the iterative approximation of fixed points of T are proved. Our results show that the boundednes