A mixed type dual for multiobjective variational problems is formulated. Several duality theorems are established relating properly efficient solutions of the primal and dual variational problems under generalized (F,ρ)-convexity. Static mixed type dual multiobjective problems are particular cases of these problems.  2004 Elsevier Inc. All rights reserved.

The usual duality results are established for mixed symmetric multiobjective dual programs without nonnegativity constraints using the notion of invexity/ generalized invexity which has allowed weakening various types of convexity/ generalized convexity assumptions. This mixed symmetric dual formulation unifies two existing symmetric dual formulations in the literature.