|
|||||
|
|
Proximality and Chebyshev sets |
|
| Authors: | Jonathan M Borwein |
| Institution: | (1) Faculty of Computer Science, Dalhousie University, Halifax, NS, Canada |
| Abstract: | 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. |
| Keywords: | Chebyshev sets Nonlinear analysis Convex analysis Variational analysis Proximal points Best approximation Farthest points |
| 本文献已被 SpringerLink 等数据库收录！ | |