2003
DOI: 10.1007/s10255-003-0112-4
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On First Order Optimality Conditions for Vector Optimization

Abstract: We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior. After presenting some well known existence results for these problems, based on a scalarization approach, we establish necessity of the optimality conditions under a Slater-like constraint qualification, and then sufficiency for the K-convex case. We present two alternative sets of optimality conditions, with th… Show more

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Cited by 9 publications
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