Stability of the Fixed Point Property for Nonexpansive Mappings

Jesús Garcia-Falset (), Antonio Jiménez-Melado () and Enrique Llorens-Fuster
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Jesús Garcia-Falset: Universitat de Valencia, Department d’Anàlisi Matematica Facultat de Matematiques
Antonio Jiménez-Melado: Universitat de Malaga, Department de Matematiques
Enrique Llorens-Fuster: Universitat de Valencia, Department d’Anàlisi Matematica Facultat de Matematiques

Chapter Chapter 7 in Handbook of Metric Fixed Point Theory, 2001, pp 201-238 from Springer

Abstract: Abstract In 1971 Zidler [Zi 71] showed that every separable Banach space (X, ‖·‖) admits an equivalent renorming, (X, ‖·‖0), which is uniformly convex in every direction (UCED), and consequently it has weak normal structure and so the weak fixed point property (WFPP) [D-J-S 71].

Date: 2001
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DOI: 10.1007/978-94-017-1748-9_7

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