Geodesic
Optimality and Duality for Weak Quasi Efficiency of Multiobjective Fractional Problems via Convexificators
Minimax theory and its applications, Tome 7 (2022) no. 1
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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.
Mots-clés : Multiobjiective fractional problem, local weak quasi-efficient solution, Fritz John and Kuhn-Tucker efficiency conditions 
@article{MTA_2022_7_1_a1,
     author = {Do Van Luu,Pham Thi Linh},
     title = {Optimality and {Duality} for {Weak} {Quasi} {Efficiency} of {Multiobjective} {Fractional} {Problems} via {Convexificators}},
     journal = {Minimax theory and its applications},
     year = {2022},
     volume = {7},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/MTA_2022_7_1_a1/}
}
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Do Van Luu,Pham Thi Linh. Optimality and Duality for Weak Quasi Efficiency of Multiobjective Fractional Problems via Convexificators. Minimax theory and its applications, Tome 7 (2022) no. 1. http://geodesic.mathdoc.fr/item/MTA_2022_7_1_a1/