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Higher order duality in vector optimization over cones

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Abstract

In this paper higher order cone convex, pseudo convex, strongly pseudo convex, and quasiconvex functions are introduced. Higher order sufficient optimality conditions are given for a weak minimum, minimum, strong minimum and Benson proper minimum solution of a vector optimization problem. A higher order dual is associated and weak and strong duality results are established under these new generalized convexity assumptions.

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  1. Department of Mathematics, Miranda House, University of Delhi, Delhi, 110007, India

    Meetu Bhatia

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  1. Meetu Bhatia
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Correspondence to Meetu Bhatia.

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Bhatia, M. Higher order duality in vector optimization over cones. Optim Lett 6, 17–30 (2012). https://doi.org/10.1007/s11590-010-0248-0

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