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Remarks on asymptotically nonexpansive mappings

โœ Scribed by Tae-Hwa Kim; Hong-Kun Xu


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
91 KB
Volume
41
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES


Asymptotically nonexpansive mappings
โœ W.A. Kirk; Carlos Martinez Yaรฑez; Sang Sik Shin ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 651 KB
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

Convergence theorems for nonself asympto
โœ Safeer Hussain Khan; Nawab Hussain ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 253 KB

In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that