Higher-order (F,α,ρ,d)(F,α,ρ,d)-convexity and symmetric duality in multiobjective programming

A pair of higher-order Wolfe type and Mond–Weir type multiobjective symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are then established using the notion of higher-order (F,α,ρ,d)(F,α,ρ,d)-convexity/pseudoconvexity assumptions. Special cases are also discussed to show that this paper extends some known results of the literature.