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.