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Stability of the fixed point property in Hilbert spaces
Author:
Eva María Mazcuñán-Navarro
Journal:
Proc. Amer. Math. Soc. 134 (2006), 129-138
MSC (2000):
Primary 47H10; Secondary 46B20
Posted:
August 16, 2005
MathSciNet review:
2170552
Full-text PDF Free Access
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Abstract: In this paper we prove that if  is a Banach space whose Banach-Mazur distance to a Hilbert space is less than  , then  has the fixed point property for nonexpansive mappings.
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Additional Information
Eva María Mazcuñán-Navarro
Affiliation:
Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjassot, Valencia, Spain
Address at time of publication:
Departamento de Matemáticas, Escuela de Ingenierías Industrial e Informática, Universidad de León, Campus de Vegazana, 24071 León, Spain
Email:
Eva.M.Mazcunan@uv.es, dememn@unileon.es
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08344-9
PII:
S 0002-9939(05)08344-9
Received by editor(s):
December 17, 2003
Posted:
August 16, 2005
Communicated by:
Jonathan M. Borwein
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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