A farthest-point characterisation of the relative Chebyshev centre
1996 ◽
Vol 54
(1)
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pp. 27-33
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Keyword(s):
We characterise the relative Chebyshev centre of a compact subsetFof 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 ofF, and we estimate the relative Chebyshev radius ofF.
2014 ◽
Vol 58
(2)
◽
pp. 441-444
2005 ◽
Vol 71
(1)
◽
pp. 107-111
Keyword(s):
2012 ◽
Vol 20
(1)
◽
pp. 329-344
1981 ◽
Vol 89
(1-2)
◽
pp. 75-86
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Keyword(s):
2002 ◽
Vol 133
(3)
◽
pp. 515-530
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2005 ◽
Vol 71
(3)
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pp. 425-433
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Keyword(s):
1967 ◽
Vol 7
(2)
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pp. 129-134
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Keyword(s):
2020 ◽
Vol 63
(2)
◽
pp. 475-496
Keyword(s):
2008 ◽
Vol 2008
◽
pp. 1-6
Keyword(s):