Non-differentiable second-order symmetric multiobjective fractional variational programming with cones constraints

¹ Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121006, India
² Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484887, India

^* Corresponding author: rdubeyjiya@gmail.com

Received: 8 September 2023
Accepted: 10 August 2024

Abstract

In this article, we build a pair non-differentiable second-order symmetric multiobjective fractional variational programming models with cone constraints, where each objective function component has a support function for a compact convex set. The (C, ρ, θ)-convexity/(C, ρ, θ)-pseudo-convexity/(C, ρ, θ)-quasiconvexity functions are defined and also, constructed concrete numerical examples for existing such type of functions. The duality results are established by using these aforesaid assumptions.