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dc.contributor.authorZhu, S.
dc.contributor.authorLi, S.
dc.contributor.authorTeo, Kok Lay
dc.date.accessioned2017-01-30T15:24:01Z
dc.date.available2017-01-30T15:24:01Z
dc.date.created2015-10-29T04:09:28Z
dc.date.issued2013
dc.identifier.citationZhu, S. and Li, S. and Teo, K.L. 2013. Differential properties and optimality conditions for generalized weak vector variational inequalities. Positivity. 17 (3): pp. 443-457.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/45897
dc.identifier.doi10.1007/s11117-012-0179-3
dc.description.abstract

In this paper, we study a generalized weak vector variational inequality, which is a generalization of a weak vector variational inequality and a Minty weak vector variational inequality. By virtue of a contingent derivative and a Φ-contingent cone, we investigate differential properties of a class of set-valued maps and obtain an explicit expression of its contingent derivative. We also establish some necessary optimality conditions for solutions of the generalized weak vector variational inequality, which generalize the corresponding results in the literature. Furthermore, we establish some unified necessary and sufficient optimality conditions for local optimal solutions of the generalized weak vector variational inequality. Simultaneously, we also show that there is no gap between the necessary and sufficient conditions under an appropriate condition.

dc.titleDifferential properties and optimality conditions for generalized weak vector variational inequalities
dc.typeJournal Article
dcterms.source.volume17
dcterms.source.number3
dcterms.source.startPage443
dcterms.source.endPage457
dcterms.source.issn1385-1292
dcterms.source.titlePositivity
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available


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