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Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces

โœ Scribed by Buthinah A Bin Dehaish, WM Kozlowski


Book ID
120736719
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
319 KB
Volume
2012
Category
Article
ISSN
1687-1820

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๐Ÿ“œ SIMILAR VOLUMES


Asymptotically Nonexpansive Mappings in
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