Duality for multiobjective variational problems under second-order (Φ, ρ)-invexity

The purpose of this article is to introduce the concept of second order (Φ, ρ)-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.