Stability of the fixed point property in Hilbert spaces
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- by Eva María Mazcuñán-Navarro PDF
- Proc. Amer. Math. Soc. 134 (2006), 129-138 Request permission
Abstract:
In this paper we prove that if $X$ is a Banach space whose Banach-Mazur distance to a Hilbert space is less than $\sqrt {\frac {5+\sqrt {17}}{2}}$, then $X$ has the fixed point property for nonexpansive mappings.References
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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
- Received by editor(s): December 17, 2003
- Published electronically: August 16, 2005
- Communicated by: Jonathan M. Borwein
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 129-138
- MSC (2000): Primary 47H10; Secondary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-05-08344-9
- MathSciNet review: 2170552