|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.