Article
A geometrical coefficient implying the fixed point property and stability results
Author/s | Domínguez Benavides, Tomás |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1996 |
Deposit Date | 2016-06-02 |
Published in |
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Abstract | In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many ... In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many important classes of Banach spaces and we obtain lower bounds for M(X) based upon either the modulus of near uniform smoothness or the modulus of the Opia] property of the conjugated space. We show that this new constant gives us stability results for the fixed point property with respect to œp-spaces which improve all previous results. |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España Junta de Andalucía |
Project ID. | PB 93-1177-C01
1241 |
Citation | Domínguez Benavides, T. (1996). A geometrical coefficient implying the fixed point property and stability results. Houston Journal of Mathematics, 22 (4), 835-849. |
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