Abstract and Applied Analysis
Volume 2005 (2005), Issue 3, Pages 259-285
Geometric properties of Banach spaces and the existence of nearest
and farthest points
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca 3400, Romania
Received 19 November 2003
Copyright © 2005 Stefan Cobzaş. 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.
The aim of this paper is to present some generic existence results
for nearest and farthest points in connection with some geometric
properties of Banach spaces.