Abstract and Applied Analysis
Volume 2003 (2003), Issue 3, Pages 183-192
doi:10.1155/S1085337503203055
The fixed-point property in Banach spaces containing a copy of c0
Departamento de Análisis Matemático, Universidad de Sevilla, Sevilla 1080, Spain
Received 6 July 2001
Copyright © 2003 Maria A. Japón Pineda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We prove that every Banach space containing an isomorphic copy of
c0 fails to have the fixed-point property for asymptotically
nonexpansive mappings with respect to some locally convex topology
which is coarser than the weak topology. If the copy of c0 is asymptotically isometric, this result can be improved, because
we can prove the failure of the fixed-point property for
nonexpansive mappings.