Second-order symmetric duality with cone constraints

Wolfe and Mond–Weir type second-order symmetric duals are formulated and appropriate duality theorems are established under η -bonvexity/ η -pseudobonvexity assumptions. This formulation removes several omissions in an earlier second-order primal dual pair introduced by Devi [Symmetric duality for nonlinear programming problems involving η -bonvex functions, European J. Oper. Res. 104 (1998) 615–621].