- Title
- Proximality and Chebyshev sets
- Creator
- Borwein, Jonathan M.
- Relation
- Optimization Letters Vol. 1, Issue 1, p. 21-32
- Publisher Link
- http://dx.doi.org/10.1007/s11590-006-0014-5
- Publisher
- Springer
- Resource Type
- journal article
- Date
- 2007
- Description
- 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.
- Subject
- Chebyshev sets; nonlinear analysis; convex analysis; variational analysis; proximal points; best approximation; farthest points
- Identifier
- http://hdl.handle.net/1959.13/940724
- Identifier
- uon:13090
- Identifier
- ISSN:1862-4472
- Rights
- The final publication is available at www.springerlink.com
- Language
- eng
- Full Text
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| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT03 | Author final version | 410 KB | Adobe Acrobat PDF | View Details Download |