Unification of Higher-Order Dual Programs Over Cones

This paper unified Wolfe and Mond-Weir-type higher-order symmetric dual multiobjective programs over arbitrary cones. The usual duality theorems are proved for unified dual programs under the assumptions of higher-order K-eta-convexity. Several known results are obtained as special cases. An example is given to show how higher-order Wolfe and Mond-Weir-type symmetric duals can be extracted from our model. An example is presented to show the existence of higher-order K-eta-convex functions.