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has been cited by the following article:

• TITLE: Higher-Order Minimizers and Generalized (F,ρ)-Convexity in Nonsmooth Vector Optimization over Cones

  AUTHORS: S. K. Suneja, Sunila Sharma, Malti Kapoor

  KEYWORDS: Nonsmooth Vector Optimization over Cones, (Weak) Minimizers of Order k, Nonsmooth (F, ρ)-Convex Function of Order k

  JOURNAL NAME: Applied Mathematics, Vol.6 No.1, January 7, 2015

  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.