Optimality conditions for convex problems on intersections of non necessarily convex sets
We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex intersections of non necessarily convex sets. To this aim, we use the notion of local normal cone to a closed set at a point, due to Linh and Penot (SIAM J Optim 17:500-510, 2006). Th...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2020 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:224366 |
| Online Access: | https://ddd.uab.cat/record/224366 https://dx.doi.org/urn:doi:10.1007/s10898-019-00849-z |
| Access Level: | Open access |
| Keyword: | Convex optimization Nonsmooth optimization Optimality conditions |
| _version_ | 1878741516387614720 |
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| author | Allevi, Elisabetta|||0000-0003-4914-9124 |
| author2 | Riccardi, Rossana Martínez Legaz, Juan Enrique|||0000-0002-6845-6202 |
| author2_role | author author |
| author_browse | Allevi, Elisabetta|||0000-0003-4914-9124 Martínez Legaz, Juan Enrique|||0000-0002-6845-6202 Riccardi, Rossana |
| author_facet | Allevi, Elisabetta|||0000-0003-4914-9124 Riccardi, Rossana Martínez Legaz, Juan Enrique|||0000-0002-6845-6202 |
| author_role | author |
| collection | Dipòsit Digital de Documents de la UAB |
| description | We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex intersections of non necessarily convex sets. To this aim, we use the notion of local normal cone to a closed set at a point, due to Linh and Penot (SIAM J Optim 17:500-510, 2006). The technique we use to obtain the optimality conditions is based on the so called canonical representation of a closed set by means of its associated oriented distance function. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_e690bb39367e67f1b9fda5ca46bb5747 |
| institution | Universitat Autònoma de Barcelona |
| instname_str | Universitat Autònoma de Barcelona |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:ddd.uab.cat:224366 |
| publishDate | 2020 |
| publishDateSort | 2020 |
| reponame_str | Dipòsit Digital de Documents de la UAB |
| spelling | Optimality conditions for convex problems on intersections of non necessarily convex sets Allevi, Elisabetta|||0000-0003-4914-9124 Riccardi, Rossana Martínez Legaz, Juan Enrique|||0000-0002-6845-6202 Convex optimization Nonsmooth optimization Optimality conditions We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex intersections of non necessarily convex sets. To this aim, we use the notion of local normal cone to a closed set at a point, due to Linh and Penot (SIAM J Optim 17:500-510, 2006). The technique we use to obtain the optimality conditions is based on the so called canonical representation of a closed set by means of its associated oriented distance function. https://ddd.uab.cat/record/224366 https://dx.doi.org/urn:doi:10.1007/s10898-019-00849-z |
| spellingShingle | Optimality conditions for convex problems on intersections of non necessarily convex sets Allevi, Elisabetta|||0000-0003-4914-9124 Convex optimization Nonsmooth optimization Optimality conditions |
| title | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| title_full | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| title_fullStr | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| title_full_unstemmed | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| title_short | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| title_sort | Optimality conditions for convex problems on intersections of non necessarily convex sets |
| topic | Convex optimization Nonsmooth optimization Optimality conditions |
| topic_facet | Convex optimization Nonsmooth optimization Optimality conditions |
| url | https://ddd.uab.cat/record/224366 https://dx.doi.org/urn:doi:10.1007/s10898-019-00849-z |