Abstract and Applied Analysis
Volume 2005 (2005), Issue 3, Pages 259-285
doi:10.1155/AAA.2005.259

Geometric properties of Banach spaces and the existence of nearest and farthest points

Stefan Cobzaş

Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca 3400, Romania

Abstract

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.