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The fixed point property in banach spaces whose characteristic of uniform convexity is less than 2

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

J. García Falset
J. García Falset
Affiliation:
Department o de Análisis MatemáticoUniversidad de ValenciaDoctor Miliner 50 46.100 Burjassot, Spain
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Abstract

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We prove that every Banach space X with characteristic of uniform convexity less than 2 has the fixed point property whenever X satisfies a certain orthogonality condition.

MSC classification

Secondary: 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 2 , April 1993 , pp. 169 - 173
Copyright
Copyright © Australian Mathematical Society 1993

References

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