Sufficiency and duality for multiobjective variational control problems with generalized (F, α, ρ, θ)-V-convexity

Zalmai introduced generalized (F, α, ρ, θ)-V-convex functions, a new class of functions that unifies several concepts of generalized convex functions. In this article, the generalized (F, α, ρ, θ)-V-convex functions are extended to variational control problem. By utilizing the new concepts, we obtain sufficient optimality conditions and prove Wolfe type and Mond-Weir type duality results for multiobjective variational control programming problem.