On generalized derivatives for C1,1 vector optimization problems
We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke s...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X03209049 |
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| _version_ | 1832563641537265664 |
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| author | Davide La Torre |
| author_facet | Davide La Torre |
| author_sort | Davide La Torre |
| collection | DOAJ |
| description | We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving
C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke subdifferential. |
| format | Article |
| id | doaj-art-70cdad0385024fd9ba9ec8e690d57a72 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-70cdad0385024fd9ba9ec8e690d57a722025-02-03T01:13:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003736537610.1155/S1110757X03209049On generalized derivatives for C1,1 vector optimization problemsDavide La Torre0Department of Economics, University of Milan, Via Conservatorio 7, Milano 20122, ItalyWe introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data. We show that these conditions are stronger than those in literature obtained by means of second-order Clarke subdifferential.http://dx.doi.org/10.1155/S1110757X03209049 |
| spellingShingle | Davide La Torre On generalized derivatives for C1,1 vector optimization problems Journal of Applied Mathematics |
| title | On generalized derivatives for C1,1 vector optimization problems |
| title_full | On generalized derivatives for C1,1 vector optimization problems |
| title_fullStr | On generalized derivatives for C1,1 vector optimization problems |
| title_full_unstemmed | On generalized derivatives for C1,1 vector optimization problems |
| title_short | On generalized derivatives for C1,1 vector optimization problems |
| title_sort | on generalized derivatives for c1 1 vector optimization problems |
| url | http://dx.doi.org/10.1155/S1110757X03209049 |
| work_keys_str_mv | AT davidelatorre ongeneralizedderivativesforc11vectoroptimizationproblems |