Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization
In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustra...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/33188 |
| _version_ | 1848753875826245632 |
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| author | Wang, Q. Li, S. Teo, Kok Lay |
| author_facet | Wang, Q. Li, S. Teo, Kok Lay |
| author_sort | Wang, Q. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustrating our results. |
| first_indexed | 2025-11-14T08:31:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-33188 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:31:28Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-331882017-09-13T15:28:27Z Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization Wang, Q. Li, S. Teo, Kok Lay In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustrating our results. 2011 Journal Article http://hdl.handle.net/20.500.11937/33188 10.3934/naco.2011.1.417 restricted |
| spellingShingle | Wang, Q. Li, S. Teo, Kok Lay Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title | Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title_full | Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title_fullStr | Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title_full_unstemmed | Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title_short | Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| title_sort | continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization |
| url | http://hdl.handle.net/20.500.11937/33188 |