Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis Group
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/46824 |
| _version_ | 1848757667398418432 |
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| author | Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay |
| author_facet | Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay |
| author_sort | Li, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed. |
| first_indexed | 2025-11-14T09:31:44Z |
| format | Journal Article |
| id | curtin-20.500.11937-46824 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:31:44Z |
| publishDate | 2011 |
| publisher | Taylor & Francis Group |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-468242017-09-13T16:08:10Z Conjugate Duality in Constrained Set-Valued Vector Optimization Problems Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay In this article, under a concept of supremum/infimum of a set, defined in terms of a closure of the set, three kinds of conjugate dual problems are proposed for a constrained set-valued vector optimization problem. Weak duality, strong duality, and stability criteria are investigated. The inclusion relations between the image sets of the dual problems are also discussed. 2011 Journal Article http://hdl.handle.net/20.500.11937/46824 10.1080/01630563.2010.528567 Taylor & Francis Group restricted |
| spellingShingle | Li, S. Sun, X. Liu, H. Yao, S. Teo, Kok Lay Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title | Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title_full | Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title_fullStr | Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title_full_unstemmed | Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title_short | Conjugate Duality in Constrained Set-Valued Vector Optimization Problems |
| title_sort | conjugate duality in constrained set-valued vector optimization problems |
| url | http://hdl.handle.net/20.500.11937/46824 |