Generalized Symmetric Duality for Multiobjective Variational Problems with Invexity*

We formulate a pair of multiobjective nonlinear generalized symmetric dual variational problems involving vector-valued functions which unify the Wolfe and Mond]Weir models. For a special case, our problems become the symmetric dual pair of D. S. Kim and W. J. Lee 1998, J. Math. Anal. Appl. 218, 34]48.. Under invexity assumptions, we establish weak, strong, and converse duality theorems for our variational problems by using the concept of efficiency. Also, we give the static case of our multiobjective generalized symmetric duality results. Several known results are obtained as special cases