Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
| dc.contributor.author | Wang, L. | |
| dc.contributor.author | Li, S. | |
| dc.contributor.author | Teo, Kok Lay | |
| dc.date.accessioned | 2017-01-30T12:40:26Z | |
| dc.date.available | 2017-01-30T12:40:26Z | |
| dc.date.created | 2011-03-02T20:01:34Z | |
| dc.date.issued | 2010 | |
| dc.identifier.citation | Wang, Q.L. and Li, S.J. and Teo, K.L. 2010. Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization. Optimization Letters. 4 (3): pp. 425-437. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/23999 | |
| dc.identifier.doi | 10.1007/s11590-009-0170-5 | |
| dc.description.abstract |
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. | |
| dc.publisher | Springer Verlag | |
| dc.subject | Nonconvex set-valued optimization - Generalized higher-order contingent (adjacent) derivatives - Gerstewitz’s nonconvex separation functional - Weakly efficient solutions - Higher-order optimality conditions | |
| dc.title | Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization | |
| dc.type | Journal Article | |
| dcterms.source.volume | 4 | |
| dcterms.source.startPage | 425 | |
| dcterms.source.endPage | 437 | |
| dcterms.source.issn | 18624472 | |
| dcterms.source.title | Optimization Letters | |
| curtin.note |
The original publication is available at: | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Fulltext not available |