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A farthest-point characterisation of the relative Chebyshev centre
Published online by Cambridge University Press: 17 April 2009
Abstract
We characterise the relative Chebyshev centre of a compact subset F of a real Banach space in terms of the Gateaux derivative of the distance to farthest points. We present a relative-Chebyshev-centre characterisation of Hilbert space. In Hilbert space we show that the relative Chebyshev centre is in the closed convex hull of the metric projection of F, and we estimate the relative Chebyshev radius of F.
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- Research Article
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- Copyright © Australian Mathematical Society 1996
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