Abstract and Applied Analysis
Volume 2003 (2003), Issue 1, Pages 49-54
doi:10.1155/S1085337503204127

On the modulus of u-convexity of Ji Gao

Eva María Mazcuñán-Navarro

Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia, Doctor Moliner 50, Valencia 46100 Burjassot, Spain

Abstract

We consider the modulus of u-convexity of a Banach space introduced by Ji Gao (1996) and we improve a sufficient condition for the fixed-point property (FPP) given by this author. We also give a sufficient condition for normal structure in terms of the modulus of u-convexity.