Geodesic
Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency
Journal of convex analysis, Tome 31 (2024) no. 3, pp. 947-958
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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.
Classification : 90C46, 90C29, 49J52
Mots-clés : Multiobjective fractional programming, local weak efficient solution, Fritz John and Kuhn-Tucker necessary conditions 
@article{JCA_2024_31_3_JCA_2024_31_3_a10,
     author = {D. V. Luu and N. L. Tung},
     title = {Nonsmooth {Multiobjective} {Fractional} {Programming} and {Second-order} {Optimality} {Conditions} for {Weak} {Efficiency}},
     journal = {Journal of convex analysis},
     pages = {947--958},
     year = {2024},
     volume = {31},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2024_31_3_JCA_2024_31_3_a10/}
}
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D. V. Luu; N. L. Tung. Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency. Journal of convex analysis, Tome 31 (2024) no. 3, pp. 947-958. http://geodesic.mathdoc.fr/item/JCA_2024_31_3_JCA_2024_31_3_a10/