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

¹ Department of Computer Science and Technology, Central University of Punjab, Bathinda, India
² Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India
³ Department of Mathematics, Interdisciplinary Research Center for Intelligent Secure Systems, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

^* Corresponding author: nkailey@thapar.edu

Received: 26 August 2024
Accepted: 23 September 2025

Abstract

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.