Journal of Convex Analysis 31 (2024), No. 3, 947--958
Copyright Heldermann Verlag 2024
Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency
Do Van Luu
(1) TIMAS, Thang Long University, Hanoi, Vietnam
(2) Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
dvluu@math.ac.vn
Nguyen Lam Tung
Mathematics Department, Thang Long University, Hanoi, Vietnam
nguyenlamtung01@gmail.com
Second-order Fritz John primal and dual necessary conditions for weak efficiency of multiobjective fractional programs involving equality, inequality and set constraints are established. With a constraint qualification of Mangasarian-Fromovitz type, Kuhn-Tucker necessary conditions are provided as well as sufficient conditions for weak efficiency.
Keywords: Multiobjective fractional programming, local weak efficient solution, Fritz John and Kuhn-Tucker necessary conditions.
MSC: 90C46, 90C29, 49J52.
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