| Article ID: | iaor20163656 |
| Volume: | 171 |
| Issue: | 2 |
| Start Page Number: | 527 |
| End Page Number: | 535 |
| Publication Date: | Nov 2016 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Arutyunov A, Vartapetov S, Zhukovskiy S |
| Keywords: | sets, programming: geometric |
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.