Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52955#.VK3lCMnQrzE Author(s) S. K. Suneja 1 , Sunila Sharma 1 , Malti Kapoor 2 Affiliation(s) 1 Department of Mathematics, Miranda House, University of Delhi, Delhi, India . 2 Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi, India . ABSTRACT In this paper, we introduce the concept of a (weak) minimizer of order k for a nonsmooth vector optimization problem over cones. Generalized classes of higher-order cone-nonsmooth (F, ρ )-convex functions are introduced and sufficient optimality results are proved involving these classes. Also, a unified dual is associated with the considered primal problem, and weak and strong duality results are established. KEYWORDS Nonsmooth Vector Optimization over Cones , (Weak) Minimizers of Order k , Nonsmooth (F , ρ )-Convex Function of Order k Cite this paper Suneja, S...
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