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Some geometric properties concerning fixed point theory

 

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Author: Domínguez Benavides, Tomás
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 1996
Published in: Revista Matemática Complutense, 9 (Número suplementario), 109-124.
Document type: Article
Abstract: The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section 1 we state the role which is played by the multidimensional convexity and smoothness in this theory. In section 2 we study the computation of the normal structure coefficient in finite dimensional lp-spaces and its connection with several classic geometric problems.
Cite: Domínguez Benavides, T. (1996). Some geometric properties concerning fixed point theory. Revista Matemática Complutense, 9 (Número suplementario), 109-124.
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URI: http://hdl.handle.net/11441/48799

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