Characterization of Sets with Continuous Metric Projection in the Space

We characterize the subsets of the space with continuous (lower semicontinuous) metric projection. One of the characteristic properties is the strict solarity of both the set and any nonempty intersection thereof with any support coordinate hyperplane.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematical Notes 2020, Vol.108 (3-4), p.309-317
1. Verfasser:	Alimov, A. R.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Hyperplanes Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We characterize the subsets of the space with continuous (lower semicontinuous) metric projection. One of the characteristic properties is the strict solarity of both the set and any nonempty intersection thereof with any support coordinate hyperplane.
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S0001434620090011