The union of uniform closed balls conjecture
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...
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| Other Authors: | , |
| Format: | article |
| Published: |
2009
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| Online Access: | http://hdl.handle.net/10725/3442 https://www.infona.pl/resource/bwmeta1.element.baztech-article-BAT5-0046-0027 |
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| _version_ | 1864513461280571393 |
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| author | Nour, Chadi |
| author2 | Stern, Ronald J. Takche, Jean |
| author2_role | author author |
| author_facet | Nour, Chadi Stern, Ronald J. Takche, Jean |
| author_role | author |
| dc.creator.none.fl_str_mv | Nour, Chadi Stern, Ronald J. Takche, Jean |
| dc.date.none.fl_str_mv | 2009 2016-03-30T08:58:52Z 2016-03-30T08:58:52Z 2016-03-30 |
| dc.identifier.none.fl_str_mv | 0324-8569 http://hdl.handle.net/10725/3442 Nour, C., Stern, R. J., & Takche, J. (2009). The union of uniform closed balls conjecture. Control and Cybernetics, 38, 1525-1534. https://www.infona.pl/resource/bwmeta1.element.baztech-article-BAT5-0046-0027 |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Control and Cybernetics |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | The union of uniform closed balls conjecture |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_7e997a92f7a852e5e17d12123e25a85b |
| identifier_str_mv | 0324-8569 Nour, C., Stern, R. J., & Takche, J. (2009). The union of uniform closed balls conjecture. Control and Cybernetics, 38, 1525-1534. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/3442 |
| publishDate | 2009 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | The union of uniform closed balls conjectureNour, ChadiStern, Ronald J.Takche, JeanThe 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.PublishedN/A2016-03-30T08:58:52Z2016-03-30T08:58:52Z20092016-03-30Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0324-8569http://hdl.handle.net/10725/3442Nour, C., Stern, R. J., & Takche, J. (2009). The union of uniform closed balls conjecture. Control and Cybernetics, 38, 1525-1534.https://www.infona.pl/resource/bwmeta1.element.baztech-article-BAT5-0046-0027enControl and Cyberneticsinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/34422021-11-17T13:39:53Z |
| spellingShingle | The union of uniform closed balls conjecture Nour, Chadi |
| status_str | publishedVersion |
| title | The union of uniform closed balls conjecture |
| title_full | The union of uniform closed balls conjecture |
| title_fullStr | The union of uniform closed balls conjecture |
| title_full_unstemmed | The union of uniform closed balls conjecture |
| title_short | The union of uniform closed balls conjecture |
| title_sort | The union of uniform closed balls conjecture |
| url | http://hdl.handle.net/10725/3442 https://www.infona.pl/resource/bwmeta1.element.baztech-article-BAT5-0046-0027 |