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

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.