Fixed point property for nonexpansive mappings versus that for nonexpansive semigroups
β Scribed by Tomonari Suzuki
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 297 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
Connections between reflexivity and the fixed-point property for nonexpansive self-mappings of nonempty, closed, bounded, convex subsets of a Banach space are 1 Ε½ . Ο± investigated. In particular, it is shown that l β« for uncountable sets β« and l cannot even be renormed to have the fixed-point prope
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