Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimiz...
| Main Authors: | , , |
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| Format: | Journal Article |
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Springer Verlag
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/23999 |
| _version_ | 1848751307242864640 |
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| author | Wang, L. Li, S. Teo, Kok Lay |
| author_facet | Wang, L. Li, S. Teo, Kok Lay |
| author_sort | Wang, L. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives. |
| first_indexed | 2025-11-14T07:50:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-23999 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:50:39Z |
| publishDate | 2010 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-239992017-09-13T16:00:11Z Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization Wang, L. Li, S. Teo, Kok Lay Nonconvex set-valued optimization - Generalized higher-order contingent (adjacent) derivatives - Gerstewitz’s nonconvex separation functional - Weakly efficient solutions - Higher-order optimality conditions In this paper, generalized higher-order contingent (adjacent) derivatives of set-valued maps are introduced and some of their properties are discussed. Under no any convexity assumptions, necessary and sufficient optimality conditions are obtained for weakly efficient solutions of set-valued optimization problems by employing the generalized higher-order derivatives. 2010 Journal Article http://hdl.handle.net/20.500.11937/23999 10.1007/s11590-009-0170-5 Springer Verlag restricted |
| spellingShingle | Nonconvex set-valued optimization - Generalized higher-order contingent (adjacent) derivatives - Gerstewitz’s nonconvex separation functional - Weakly efficient solutions - Higher-order optimality conditions Wang, L. Li, S. Teo, Kok Lay Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title_full | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title_fullStr | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title_full_unstemmed | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title_short | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| title_sort | higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization |
| topic | Nonconvex set-valued optimization - Generalized higher-order contingent (adjacent) derivatives - Gerstewitz’s nonconvex separation functional - Weakly efficient solutions - Higher-order optimality conditions |
| url | http://hdl.handle.net/20.500.11937/23999 |