New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems
| dc.contributor.author | Li, S | |
| dc.contributor.author | Zhu, S | |
| dc.contributor.author | Teo, Kok Lay | |
| dc.date.accessioned | 2017-01-30T12:12:38Z | |
| dc.date.available | 2017-01-30T12:12:38Z | |
| dc.date.created | 2013-03-05T20:00:34Z | |
| dc.date.issued | 2012 | |
| dc.identifier.citation | Li, S.J. and Zhu, S.K. and Teo, K.L. 2012. New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems. Journal of Optimization Theory and Applications 152: pp. 587-604. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/19235 | |
| dc.identifier.doi | 10.1007/s10957-011-9915-2 | |
| dc.description.abstract |
In this paper, we introduce the concept of a generalized second-order composed contingent epiderivative for set-valued maps and discuss its relationship to the generalized second-order contingent epiderivative. We also investigate some of its properties. Then, by virtue of the generalized second-order composed contingent epiderivative, we establish a unified second-order sufficient and necessary optimality condition for set-valued optimization problems, which is a generalization of the corresponding results in the literature. | |
| dc.publisher | Springer Netherlands | |
| dc.subject | Set-valued optimization | |
| dc.subject | Optimality conditions | |
| dc.subject | Generalized second-order composed - contingent epiderivative | |
| dc.title | New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems | |
| dc.type | Journal Article | |
| dcterms.source.volume | 152 | |
| dcterms.source.startPage | 587 | |
| dcterms.source.endPage | 604 | |
| dcterms.source.issn | 0022-3239 | |
| dcterms.source.title | Journal of Optimization Theory and Applications | |
| curtin.department | ||
| curtin.accessStatus | Fulltext not available |