On the Chebyshev center and the nonemptiness of the intersection of nested sets

DOI10.1134/S0001434622030154zbMath1498.46013OpenAlexW4224882698MaRDI QIDQ2133830

M. Z. Suladze, A. N. Danelia, George Z. Chelidze

Publication date: 5 May 2022

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

Full work available at URL: https://doi.org/10.1134/s0001434622030154

zbMATH Keywords

Chebyshev centernonemptiness of intersection of nested setsnumerical parameter of set in normed spaceOpial weak-\(*\) property

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Cites Work

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• Some remarks on the intersection of embedded sets
• Intersection of a sequence of embedded closed sets in a Banach space
• Intersection of a sequence of imbedded closed sets
• On Nonexpansive Mappings
• Chebyshev centres, Jung constants, and their applications
• On critical values of numerical parameters characterizing intersections of embedded sets

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