TY - JOUR ID - Antczak2023 LB - Antczak2023 AU - Antczak, Tadeusz AU - Arana-Jimenéz, Manuel AU - Treanţă, Savin TI - On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems ST - On efficiency and duality for a class of nonconvex nondifferentiable multiobjective fractional variational control problems JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2023 VL - 43 IS - 3 SP - 335 EP - 391 DO - https://doi.org/10.7494/OpMath.2023.43.3.335 UR - https://doi.org/10.7494/OpMath.2023.43.3.335 AB - 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. KW - nondifferentiable multiobjective fractional variational control problem KW - efficient solution KW - optimality conditions KW - (generalized) univexity KW - Mond-Weir duality KW - Wolfe duality SN - 1232-9274 ER -