Higher-order duality results for multiobjective fractional variational problems involving support functions and its application

This study investigates a class of multiobjective fractional variational problems that incorporate support functions. Utilizing the concept of higher-order pseudoinvexity, we establish duality results for these problems. We present an example of a non-trivial functional that demonstrates higher-order pseudoinvexity, distinguishing it from first-order pseudoinvexity. Our theoretical analysis elucidates the relationship between the primal and dual values within the proposed model. To validate the weak duality theorem, we also provide a practical example.