Second Order Mixed Symmetric Duality in Non-differentiable Multi-objective Mathematical Programming

A pair of Mond-Weir type second order mixed symmetric duals is presented for a class of non-differentiable multi-objective nonlinear programming problems with multiple arguments. We establish duality theorems for the new pair of dual models under second order generalized convexity assumptions. This mixed second order dual formulation unifies the two existing second order symmetric dual formulations in the literature. Many recent works on symmetric duality are obtained as special cases of the results established in the present paper.