Some Properties and Applications of the Hausdorff Distance
- Arutyunov A.V.
- Vartapetov S.A.
- Zhukovskiy S.E.
Publication date
March 2020
DOI Publisher
Springer Science and Business Media LLCAbstract
Some properties of Hausdorff distance are studied. It is shown that, in every infinite-dimensional normed space, there exists a pair of closed and bounded sets such that the distance between every two points of these sets is greater than the Hausdorff distance between these sets. A relation of the obtained result to set-valued analysis is discussed. © 2015, Springer Science+Business Media New York
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