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- W4251657218 abstract "Abstract A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the first part of this paper we present some basic results concerning Chebyshev sets. In particular, we investigate properties of the metric projection map, sufficient conditions for a subset of a normed linear space to be a Chebyshev set, and sufficient conditions for a Chebyshev set to be convex. In the second half of the paper we present a construction of a nonconvex Chebyshev subset of an inner product space." @default.
- W4251657218 created "2022-05-12" @default.
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- W4251657218 date "2014-11-11" @default.
- W4251657218 modified "2023-10-14" @default.
- W4251657218 title "CHEBYSHEV SETS" @default.
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- W4251657218 doi "https://doi.org/10.1017/s1446788714000561" @default.
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