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Fixed point theorems for -nonexpansive mappings

✍ Scribed by Chakkrid Klin-eam; Suthep Suantai

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
229 KB
Volume
23
Category
Article
ISSN
0893-9659

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πŸ“œ SIMILAR VOLUMES

Fixed point theorems for some generalize
Fixed point theorems for some generalized multivalued nonexpansive mappings
✍ A. Kaewcharoen; B. Panyanak πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 225 KB

In this paper, we introduce a condition on multivalued mappings which is a multivalued version of condition (C Ξ» ) defined by Garcia-Falset et al. (2011) [3]. It is shown here that some of the classical fixed point theorems for multivalued nonexpansive mappings can be extended to mappings satisfying

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✍ 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