Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
474116 | Computers & Mathematics with Applications | 2009 | 11 Pages |
Abstract
In this paper, the notions of higher order weak contingent epiderivative and higher order weak adjacent epiderivative for a set-valued map are defined. By virtue of higher order weak adjacent (contingent) epiderivatives and Henig efficiency, we introduce a higher order Mond–Weir type dual problem and a higher order Wolfe type dual problem for a constrained set-valued optimization problem (SOP) and discuss the corresponding weak duality, strong duality and converse duality properties. We also establish higher order Kuhn–Tucker type necessary and sufficient optimality conditions for (SOP).
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Computer Science (General)
Authors
C.R. Chen, S.J. Li, K.L. Teo,