Second-Order Nondifferentiable Multiobjective Mixed Symmetric Dual Programs Over Cones

In this paper, a pair of second-order mixed symmetric nondifferentiable multiobjective dual programs over arbitrary cones where each of the objective functions contains a pair of support functions is considered. Further, weak, strong and converse duality theorems are established under the assumptions of second-order K-(F, ρ)-convexity.Moreover, we have illustrated a numerical example which is second-order K-(F, ρ)-convex but not second-order F-convex. Several special cases are also obtained