Optimality conditions for approximate solutions of vector optimization problems
In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate...
| Main Authors: | , , |
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| Format: | Journal Article |
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American Institute of Mathematical Sciences
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/8909 |
| _version_ | 1848745796948721664 |
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| author | Gao, Ying Yang, X Teo, Kok Lay |
| author_facet | Gao, Ying Yang, X Teo, Kok Lay |
| author_sort | Gao, Ying |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate solutions. And under the assumption of cone subconvexlike functions, we derive linear scalarizations for properly approximate efficient solutions. |
| first_indexed | 2025-11-14T06:23:04Z |
| format | Journal Article |
| id | curtin-20.500.11937-8909 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:23:04Z |
| publishDate | 2011 |
| publisher | American Institute of Mathematical Sciences |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-89092017-09-13T16:08:46Z Optimality conditions for approximate solutions of vector optimization problems Gao, Ying Yang, X Teo, Kok Lay In this paper, we introduce a new kind of properly approximate efficient solution of vector optimization problems. Some properties for this new class of approximate solutions are established. Also necessary and sufficient conditions via nonlinear scalarizations are obtained for properly approximate solutions. And under the assumption of cone subconvexlike functions, we derive linear scalarizations for properly approximate efficient solutions. 2011 Journal Article http://hdl.handle.net/20.500.11937/8909 10.3934/jimo.2011.7.483 American Institute of Mathematical Sciences unknown |
| spellingShingle | Gao, Ying Yang, X Teo, Kok Lay Optimality conditions for approximate solutions of vector optimization problems |
| title | Optimality conditions for approximate solutions of vector optimization problems |
| title_full | Optimality conditions for approximate solutions of vector optimization problems |
| title_fullStr | Optimality conditions for approximate solutions of vector optimization problems |
| title_full_unstemmed | Optimality conditions for approximate solutions of vector optimization problems |
| title_short | Optimality conditions for approximate solutions of vector optimization problems |
| title_sort | optimality conditions for approximate solutions of vector optimization problems |
| url | http://hdl.handle.net/20.500.11937/8909 |