SYMMETRIC DUALITY FOR MULTIOBJECTIVE VARIATIONAL PROBLEMS CONTAINING SUPPORT FUNCTIONS
Wolfe and Mond-Weir type symmetric dual models for multiobjective variational problems with support functions are formulated. For these pairs of problems, weak, strong and converse duality theorems are validated under convexity-concavity and pseudo-convexity, pseudo-concavity assumptions on certain combination of functionals. Self duality theorems for both pairs are established. The problems with natural boundary values are formulated. It is also pointed out that our duality results can be regarded as dynamic generalizations of nonlinear programming problems having nondifferentiable terms as support functions.
Multiobjective, variational problems, support functions, symmetric duality, self duality, convexity-concavity, pseudoconvexity-pseudoconcavity.