Автор(ы): Арутюнов А. В. (ИПУ РАН, Лаборатория 45)Вартапетов С. А. (ВМК МГУ)Жуковский С. Е. (ИПУ РАН, Лаборатория 45)Автор(ов): 3 Параметры публикацииТип публикации: Статья в журнале/сборникеНазвание: Some Properties and Applications of the Hausdorff DistanceНаименование источника: Journal of Optimization Theory and ApplicationsОбозначение и номер тома: Vol. 171, Iss. 2Город: New YorkИздательство: Springer ScienceГод издания: 2016Страницы: 527-535 АннотацияSome 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. Библиографическая ссылка: Арутюнов А.В., Вартапетов С.А., Жуковский С.Е. Some Properties and Applications of the Hausdorff Distance // Journal of Optimization Theory and Applications. 2016. Vol. 171, Iss. 2. С. 527-535.