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Fixed points of convex maps in ordered Banach spaces

✍ Scribed by Thierry Aubin; Wenzhi Wang


Publisher
Elsevier Science
Year
2001
Tongue
French
Weight
125 KB
Volume
125
Category
Article
ISSN
0007-4497

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Fixed point theorem for -nonexpansive ma
✍ Koji Aoyama; Fumiaki Kohsaka πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 202 KB

We introduce the class of Ξ±-nonexpansive mappings in Banach spaces. This class contains the class of nonexpansive mappings and is related to the class of firmly nonexpansive mappings in Banach spaces. In addition, we obtain a fixed point theorem for Ξ±nonexpansive mappings in uniformly convex Banach