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The fixed point property for some uniformly nonoctahedral Banach spaces

Published online by Cambridge University Press:  17 April 2009

A. Jiménez-Melado
A. Jiménez-Melado
Affiliation:
Depto. Análisis MatemáticoUniversidad de MálagaFacultad de Ciencias, 29071 Malaga, Spain e-mail: jimenez@anamat.cie.uma.es
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Abstract

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Roughly speaking, we show that a Banach space X has the fixed point property for nonexpansive mappings whenever X has the WORTH property and the unit sphere of X does not contain a triangle with sides of length larger than 2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 361 - 367
Copyright
Copyright © Australian Mathematical Society 1999

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