Proximality and Chebyshev sets

Borwein, Jonathan M. (2007) Proximality and Chebyshev sets. Optimization Letters, 1 . pp. 21-32.

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    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.

    Item Type: Article
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: Chebyshev sets, nonlinear analysis, convex analysis, variational analysis, proximal points, best approximation, farthest points
    Subjects: 46-xx Functional analysis > 46Txx Nonlinear functional analysis
    49-xx Calculus of variations and optimal control; optimization
    Faculty: UNSPECIFIED
    Depositing User: Users 1 not found.
    Date Deposited: 08 May 2006
    Last Modified: 11 Jan 2015 19:30

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