Optimality and duality for nondifferentiable multiobjective variational problems with higher order derivatives

Abstract

Wolfe and Mond-Weir type vector dual variational problems are formulated for a class of nondifferentiable multiobjective variational problems involving higher order derivatives. By using concept of efficiency, weak, strong and converse duality theorems are established under invexity and generalized invexity assumptions. Validation of some of our duality results can also be served as a correction for the results existing in the literature. Related problems for which our duality results can hold, are also pointed out.