The Schauder fixed point theorem in geodesic spaces
We give a direct proof of Schauder's fixed point theorem in the setting of geodesic metric spaces, generalizing the classical Schauder's theorem and improving a recent version of this theorem in CAT(k) spaces. As an application we prove an existence result for a variational inequality in t...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182153 |
| Acceso en línea: | https://hdl.handle.net/11441/182153 https://doi.org/10.1016/j.jmaa.2014.03.002 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point Geodesic spaces Hyperbolic spaces Leray–Schauder condition Variational inequality |
| Sumario: | We give a direct proof of Schauder's fixed point theorem in the setting of geodesic metric spaces, generalizing the classical Schauder's theorem and improving a recent version of this theorem in CAT(k) spaces. As an application we prove an existence result for a variational inequality in the setting of CAT(k) spaces. |
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