Higher order duality in vector optimization over cones |
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Authors: | Meetu Bhatia |
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Affiliation: | 1. Department of Mathematics, Miranda House, University of Delhi, Delhi, 110007, India
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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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