| dc.contributor.author |
Nour, Chadi |
|
| dc.contributor.author |
Stern, Ronald J. |
|
| dc.contributor.author |
Takche, Jean |
|
| dc.date.accessioned |
2016-03-30T08:58:52Z |
|
| dc.date.available |
2016-03-30T08:58:52Z |
|
| dc.date.copyright |
2009 |
|
| dc.date.issued |
2016-03-30 |
|
| dc.identifier.issn |
0324-8569 |
en_US |
| dc.identifier.uri |
http://hdl.handle.net/10725/3442 |
|
| dc.description.abstract |
The exterior sphere condition is compared to proximal
smoothness, and examples are provided, which show that the
two properties are not necessarily equivalent. Then conditions are
given under which equivalence holds, and an open question involving
the union of uniform closed balls property is stated in the form of a
conjecture. |
en_US |
| dc.language.iso |
en |
en_US |
| dc.title |
The union of uniform closed balls conjecture |
en_US |
| dc.type |
Article |
en_US |
| dc.description.version |
Published |
en_US |
| dc.author.school |
SAS |
en_US |
| dc.author.idnumber |
200502681 |
en_US |
| dc.author.idnumber |
198790400 |
|
| dc.author.woa |
N/A |
en_US |
| dc.author.department |
Computer Science and Mathematics |
en_US |
| dc.description.embargo |
N/A |
en_US |
| dc.relation.journal |
Control and Cybernetics |
en_US |
| dc.journal.volume |
38 |
en_US |
| dc.journal.issue |
4B |
en_US |
| dc.article.pages |
1525-1534 |
|
| dc.keywords |
Proximal smoothness |
en_US |
| dc.keywords |
Interior and exterior sphere conditions |
en_US |
| dc.keywords |
Union of uniform closed balls property |
en_US |
| dc.keywords |
Wedged sets |
en_US |
| dc.keywords |
Nonsmooth analysis |
en_US |
| dc.identifier.ctation |
Nour, C., Stern, R. J., & Takche, J. (2009). The union of uniform closed balls conjecture. Control and Cybernetics, 38, 1525-1534. |
en_US |
| dc.author.email |
chadi.nour@lau.edu.lb |
|
| dc.author.email |
jtakshi@lau.edu.lb |
|
| dc.identifier.url |
https://www.infona.pl/resource/bwmeta1.element.baztech-article-BAT5-0046-0027 |
|
| dc.orcid.id |
https://orcid.org/0000-0003-4378-7459 |
|
| dc.author.affiliation |
Lebanese American University |
|