Higher-order symmetric duality with cone constraints

A pair of higher-order Wolfe and Mond–Weir type symmetric dual models with cone constraints are formulated and usual duality theorems are established under higher-order ηη-invexity/ηη-pseudoinvexity assumptions. Symmetric minimax mixed integer primal and dual problems are also discussed. These duality relations also remove certain inconsistencies in some of the earlier results.