Duality for nondifferentiable multiobjective higher-order symmetric programs over cones involving generalized ( F , α , ρ , d ) -convexity
S. K. Gupta, Navdeep Kailey, Sumit Kumar · Journal of Inequalities and Applications · 2012
In this paper, a pair of Wolfe type higher-order symmetric nondifferentiable multiobjective programs over arbitrary cones is formulated and appropriate duality relations are then established under higher-order-K- -convexity assumptions. A numerical example which is higher-order K- -convex but not higher-order K-F-convex has also been illustrated. Special cases are also discussed to show that this paper extends some of the known works that have appeared in the literature. MSC: 90C29, 90C30, 49N15.