dc.contributor.author |
Ivanshin P. |
|
dc.contributor.author |
Sosov E. |
|
dc.date.accessioned |
2018-09-18T20:06:14Z |
|
dc.date.available |
2018-09-18T20:06:14Z |
|
dc.date.issued |
2008 |
|
dc.identifier.issn |
0025-5165 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/136534 |
|
dc.description.abstract |
We prove local Lipschitz property of the map which puts in correspondence to each exact N-net its Chebyshev center. If dimension of Euclidean or Lobachevsky space is greater than 1 and the net consists of more than 2 points we show that this map is not Lipschitz in a neighbourhood of the space of all 2-nets embedded into the space of N-nets endowed with Hausdorff metric. |
|
dc.relation.ispartofseries |
Matematicki Vesnik |
|
dc.subject |
Chebyshev center |
|
dc.subject |
Hausdorff metric |
|
dc.subject |
Local Lipschitz property |
|
dc.subject |
N-net |
|
dc.title |
Local Lipschitz property for the Chebyshev center mapping over N-nets |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
1 |
|
dc.relation.ispartofseries-volume |
60 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
9 |
|
dc.source.id |
SCOPUS00255165-2008-60-1-SID41549090437 |
|