Super-efficiency vector optimization in Banach spaces
Using variational analysis, in terms of the Clarke normal cone, we consider super-efficiency of vector optimization in Banach spaces. We establish some characterizations for super-efficiency. In particular, dropping the assumption that the ordering cone has a bounded base, we extend a result in Borw...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/23537 |
| _version_ | 1848751178755604480 |
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| author | Zheng, X. Yang, X. Teo, Kok |
| author_facet | Zheng, X. Yang, X. Teo, Kok |
| author_sort | Zheng, X. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Using variational analysis, in terms of the Clarke normal cone, we consider super-efficiency of vector optimization in Banach spaces. We establish some characterizations for super-efficiency. In particular, dropping the assumption that the ordering cone has a bounded base, we extend a result in Borwein and Zhuang [J.M. Borwein, D. Zhuang, Super-efficiency in vector optimization, Trans. Amer. Math. Soc. 338 (1993) 105-122] to the nonconvex setting. |
| first_indexed | 2025-11-14T07:48:36Z |
| format | Journal Article |
| id | curtin-20.500.11937-23537 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:48:36Z |
| publishDate | 2007 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-235372017-09-13T16:05:30Z Super-efficiency vector optimization in Banach spaces Zheng, X. Yang, X. Teo, Kok Using variational analysis, in terms of the Clarke normal cone, we consider super-efficiency of vector optimization in Banach spaces. We establish some characterizations for super-efficiency. In particular, dropping the assumption that the ordering cone has a bounded base, we extend a result in Borwein and Zhuang [J.M. Borwein, D. Zhuang, Super-efficiency in vector optimization, Trans. Amer. Math. Soc. 338 (1993) 105-122] to the nonconvex setting. 2007 Journal Article http://hdl.handle.net/20.500.11937/23537 10.1016/j.jmaa.2006.04.052 Elsevier unknown |
| spellingShingle | Zheng, X. Yang, X. Teo, Kok Super-efficiency vector optimization in Banach spaces |
| title | Super-efficiency vector optimization in Banach spaces |
| title_full | Super-efficiency vector optimization in Banach spaces |
| title_fullStr | Super-efficiency vector optimization in Banach spaces |
| title_full_unstemmed | Super-efficiency vector optimization in Banach spaces |
| title_short | Super-efficiency vector optimization in Banach spaces |
| title_sort | super-efficiency vector optimization in banach spaces |
| url | http://hdl.handle.net/20.500.11937/23537 |