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

Abstract

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