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The fixed point property for mappings admitting a center

✍ Scribed by J. García-Falset; E. Llorens-Fuster; S. Prus

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
253 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis

We introduce a class of nonlinear continuous mappings in Banach spaces which allow us to characterize the Banach spaces without noncompact flat parts in their spheres as those that have the fixed point property for this type of mapping. Later on, we give an application to the existence of zeroes for certain kinds of accretive operators.

📜 SIMILAR VOLUMES

Reflexivity and the Fixed-Point Property
Reflexivity and the Fixed-Point Property for Nonexpansive Maps
✍ P.N. Dowling; C.J. Lennard; B. Turett 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 142 KB

Connections between reflexivity and the fixed-point property for nonexpansive self-mappings of nonempty, closed, bounded, convex subsets of a Banach space are 1 Ž . ϱ investigated. In particular, it is shown that l ⌫ for uncountable sets ⌫ and l cannot even be renormed to have the fixed-point prope