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 @h-bonvexity/@h-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 @h-bonvex functions, European J. Oper. Res. 104 (1998) 615-621].