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
Asymptotic behavior of nonexpansive mappings in normed linear spaces
โ Scribed by Elon Kohlberg; Abraham Neyman
- Book ID
- 112886369
- Publisher
- The Hebrew University Magnes Press
- Year
- 1981
- Tongue
- English
- Weight
- 258 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we will examine the asymptotic behaviour of the iterates of linear maps A : R n โ R n that are nonexpansive (contractive) with respect to a classical p-norm on R n . As a main result it will be shown that if 1 p โ and p / = 2, there exists an integer q 1 such that the sequence (A kq x)
In this paper, we prove that if ฯ is a convex, ฯ-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