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Minimax Theory and its Applications 07 (2022), No. 1, 057--078
Copyright Heldermann Verlag 2022

Optimality and Duality for Weak Quasi Efficiency of Multiobjective Fractional Problems via Convexificators

Do Van Luu
(1) TIMAS, Thang Long University, Hanoi, Vietnam
(2) Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

Pham Thi Linh
Thai Nguyen University of Economics and Business Administration, Thai Nguyen, Vietnam

Fritz John and Kuhn-Tucker necessary conditions for weak quasi-efficiency of multiobjective fractional optimization problems with equality, inequality and set constraints are derived. Under asumptions on asymptotic pseudoinvexity of the objective and asymptotic quasiinvexity of constraint functions, sufficient conditions for weak quasi-efficiency are also given together with duality theorems of Wolfe and Mond-Weir types.

Keywords: Multiobjiective fractional problem, local weak quasi-efficient solution, Fritz John and Kuhn-Tucker efficiency conditions.

MSC: 90C46, 90C29, 49J52.

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