Proximality and Chebyshev sets

This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimensional Chebyshev set is convex and hopes to inspire renewed work on the open question of whether every Chebyshev set in Hilbert space is convex.

• Type: Journal
• Year: 2007
• Where: OL
• Authors: Jonathan M. Borwein
• Keywords: Distinct Variational Methods, OL 2007, Prague Spring School, finite Dimensional Chebyshev