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- W1492318323 abstract "In this paper we prove that themetric projectionΠK, ponto a polyhedral subsetKof Rn, endowed with thep-norm, isuniformly Lipschitz continuouswith respect top, 1 < p < ∞. As a consequence thestrict best approximationand thenatural best approximationare Lipschitz continuous selections for the metric projections ΠK, ∞and ΠK, 1, respectively. This extends a recent analogous result in Berenset al.[J. Math. Anal. Appl.213(1997), 183–201] on linear subspaces." @default.
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- W1492318323 date "1998-12-01" @default.
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- W1492318323 title "Uniform Lipschitz Continuity of Bestlp-Approximations by Polyhedral Sets" @default.
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- W1492318323 doi "https://doi.org/10.1006/jmaa.1998.6120" @default.
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