On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems

Abstract

In this paper, we consider the class of nondifferentiable multiobjective fractional variational control problems involving the nondifferentiable terms in the numerators and in the denominators. Under univexity and generalized univexity hypotheses, we prove optimality conditions and various duality results for such nondifferentiable multiobjective fractional variational control problems. The results established in the paper generalize many similar results established earlier in the literature for such nondifferentiable multiobjective fractional variational control problems.

Keywords

• nondifferentiable multiobjective fractional variational control problem
• efficient solution
• optimality conditions
• (generalized) univexity
• mond-weir duality
• wolfe duality