On moduli of convexity and some applications

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On moduli of convexity and some applications

Published in: Quaestiones Mathematicae
Volume 32 , issue 3 , 2009 , pages: 307–319
DOI: 10.2989/QM.2009.32.3.3.904
Author(s): Diómedes Bárcenas Departamento de Matemáticas, Venezuela , Luisa Sánchez Departamento de Matemáticas, Venezuela
Keywords: Modulus of convexity , Banach Mazur-distance , fixed point property
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Abstract

We provide some properties of both moduli of convexity δ and β and derive some applications of the modulus β to the geometry of Banach spaces as well as fixed point theory.
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