Some fixed point results on L-embedded Banach spaces
In this paper we prove that w-fixed point property and w*-fixed point property are equivalent concepts for L-embedded Banach spaces which are duals of M-embedded spaces. Similar results will be obtained with respect to the normal structure. These equivalences will be applied to establish new fixed p...
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2002 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/182256 |
| Acesso em linha: | https://hdl.handle.net/11441/182256 https://doi.org/10.1016/S0022-247X(02)00107-5 |
| Access Level: | acceso abierto |
| Palavra-chave: | L-embedded Banach spaces M-embedded Banach spaces Abstract measure topology Fixed point property Nonexpansive mappings Asymptotically regular mappings |
| Resumo: | In this paper we prove that w-fixed point property and w*-fixed point property are equivalent concepts for L-embedded Banach spaces which are duals of M-embedded spaces. Similar results will be obtained with respect to the normal structure. These equivalences will be applied to establish new fixed point results for different examples. We will also prove the existence of fixed points for both nonexpansive and asymptotically regular mappings defined on subsets of L-embedded Banach spaces which are sequentially compact for the abstract measure topology. We will check that our results do not hold in the case of the weak topology. |
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