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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

Received 19 November 2003

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.