Duality for Multiobjective Variational Problems under Second-Order (Φ, ρ)-Invexity

The purpose of this article is to introduce the concept of second order (phi, rho)-invex function for continuous case and apply it to discuss the duality relations for a class of multiobjective variational problem. Weak, strong and strict duality theorems are obtained in order to relate efficient solutions of the primal problem and its second order Mond-Weir type multiobjective variational dual problem using aforesaid assumption. A non-trivial example is also exemplified to show the presence of the proposed class of a function.