Nearly Chebyshev Sets are Almost Convex

In this paper we show that nearly Chebyshev sets are almost convex and nearly uniquely remotal sets are almost singleton sets.

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Bibliographic Details
Published inSet-valued and variational analysis Vol. 26; no. 1; pp. 67 - 76
Main Author Moors, Warren B.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.03.2018
Springer Nature B.V
Subjects
Analysis
Chebyshev approximation
Mathematics
Mathematics and Statistics
Optimization
Primary 41A65
Convex sets
Secondary 41A50
Chebyshev sets
Uniquely remotal sets
46B20
47N10
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Summary:In this paper we show that nearly Chebyshev sets are almost convex and nearly uniquely remotal sets are almost singleton sets.
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-017-0445-4