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Some properties and applications of the Hausdorff distance

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Publication:346814
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DOI10.1007/S10957-015-0732-XzbMath1353.54017OpenAlexW1971016990MaRDI QIDQ346814

S. A. Vartapetov, Sergey Zhukovskiy, Aram V. Arutyunov

Publication date: 30 November 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-015-0732-x


zbMATH Keywords

Hausdorff metricLipschitz continuityorthogonality in a normed space


Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued maps in general topology (54C60) Metric spaces, metrizability (54E35)


Related Items (1)

Minimum spanning paths and Hausdorff distance in finite ultrametric spaces




Cites Work

  • On covering properties in variational analysis and optimization
  • Covering mappings in metric spaces and fixed points
  • Multi-valued contraction mappings
  • Orthogonality in linear metric spaces
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