Proximal subdifferential of the bilateral minimal time function and some regularity applications
We derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex....
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2013
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| Online Access: | http://hdl.handle.net/10725/7399 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.heldermann-verlag.de/jca/jca20/jca1309_b.pdf |
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| _version_ | 1864513482103193600 |
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| author | Nour, Chadi |
| author_facet | Nour, Chadi |
| author_role | author |
| dc.creator.none.fl_str_mv | Nour, Chadi |
| dc.date.none.fl_str_mv | 2013 2018-04-17T12:29:43Z 2018-04-17T12:29:43Z 2018-04-17 |
| dc.identifier.none.fl_str_mv | 0944-6532 http://hdl.handle.net/10725/7399 Nour, C. (2013). Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications. Journal of Convex Analysis, 20(4), 1095-1112. http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.heldermann-verlag.de/jca/jca20/jca1309_b.pdf |
| dc.language.none.fl_str_mv | en |
| dc.relation.none.fl_str_mv | Journal of Convex Analysis |
| dc.rights.*.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.title.none.fl_str_mv | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| dc.type.none.fl_str_mv | Article info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | We derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | LAURepo_17a8102ffd2a057c04601c9d8495bf88 |
| identifier_str_mv | 0944-6532 Nour, C. (2013). Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications. Journal of Convex Analysis, 20(4), 1095-1112. |
| language_invalid_str_mv | en |
| network_acronym_str | LAURepo |
| network_name_str | Lebanese American University repository |
| oai_identifier_str | oai:laur.lau.edu.lb:10725/7399 |
| publishDate | 2013 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Proximal subdifferential of the bilateral minimal time function and some regularity applicationsNour, ChadiWe derive a formula for the proximal subdifferential of the bilateral minimal time function in the linear case. As a consequence, we prove some new regularity properties for this function, essentially, we provide suitable weak controllability assumption under which its epigraph is locally ϕ0-convex.PublishedN/A2018-04-17T12:29:43Z2018-04-17T12:29:43Z20132018-04-17Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0944-6532http://hdl.handle.net/10725/7399Nour, C. (2013). Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications. Journal of Convex Analysis, 20(4), 1095-1112.http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.phphttp://www.heldermann-verlag.de/jca/jca20/jca1309_b.pdfenJournal of Convex Analysisinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/73992021-11-16T11:29:02Z |
| spellingShingle | Proximal subdifferential of the bilateral minimal time function and some regularity applications Nour, Chadi |
| status_str | publishedVersion |
| title | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| title_full | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| title_fullStr | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| title_full_unstemmed | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| title_short | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| title_sort | Proximal subdifferential of the bilateral minimal time function and some regularity applications |
| url | http://hdl.handle.net/10725/7399 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://www.heldermann-verlag.de/jca/jca20/jca1309_b.pdf |