Relative Chebyshev point of a system of continuously varying bounded closed sets

DOI10.1007/S11253-011-0562-4zbMath1231.41037OpenAlexW2044971958MaRDI QIDQ660680

Yu. V. Hnatyuk

Publication date: 4 February 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-011-0562-4

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Sufficient conditions for existence and uniqueness of a Chebyshev center of a nonempty bounded set in a geodesic space
• Best uniform approximation of a continuous compact-valued mapping by sets of continuous single-valued mappings
• General properties of the best approximation with respect to a convex continuous function

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