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Uniformly Lipschitzian mappings in modular function spaces

โœ Scribed by T. Dominguez Benavides; M.A. Khamsi; S. Samadi


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
115 KB
Volume
46
Category
Article
ISSN
0362-546X

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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