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On asymptotic pointwise contractions in modular function spaces

✍ Scribed by M.A. Khamsi; W.M. Kozlowski


Book ID
103850533
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
319 KB
Volume
73
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Asymptotically Nonexpansive Mappings in
✍ T. Dominguez-Benavides; M.A. Khamsi; S. Samadi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 121 KB

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