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Fixed point theorems for nonexpansive maps in Banach spaces

✍ Scribed by Smaïl Djebali; Karima Hammache


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
326 KB
Volume
73
Category
Article
ISSN
0362-546X

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Fixed point theorem for -nonexpansive ma
✍ Koji Aoyama; Fumiaki Kohsaka 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 202 KB

We introduce the class of α-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 αnonexpansive mappings in uniformly convex Banach