Space of continuous set-valued mappings with closed unbounded values

DOI10.1134/S0081543818090237zbMath1421.54011OpenAlexW2922008124MaRDI QIDQ2424196

A. A. Tolstonogov

Publication date: 24 June 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818090237

zbMATH Keywords

compactnessKuratowski convergenceunbounded sets

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35)

Cites Work

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• On multi-valued maps with images in the space of closed subsets of a metric space
• Compactness in the space of set-valued mappings with closed values
• The space clcv(\(\mathbb R^n\)) with the Hausdorff-Bebutov metric and differential inclusions
• Investigation of a new class of control systems
• On convergence of closed sets in a metric space and distance functions
• Metric spaces with nice closed balls and distance functions for closed sets

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