Open Access Research

A product space with the fixed point property

Helga Fetter Nathansky1* and Enrique Llorens-Fuster2

Author Affiliations

1 Centro de Investigación en Matemáticas (CIMAT), Jalisco s/n, 36240 Guanajuato (Gto.), México

2 Dept. Análisis Matemático, Facultad de Matemáticas, 46100 Burjassot, Valencia, Spain

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Fixed Point Theory and Applications 2012, 2012:91 doi:10.1186/1687-1812-2012-91

Published: 31 May 2012

Abstract

We show that the l1 sum of the van Dulst space with itself possesses the fixed point property, although it fails most of the known conditions that imply (FPP).

Mathematics Subject Classification: Primary, 46B20; 47H09.

Keywords:
fixed point; asymptotic normal structure; E-convexity; (PS) condition; property WORTH; orthogonal convexity