Geodesic
Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Equilibrium Constraints
Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 429 .

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The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium constraints are established. Then, we formulate types of Wolfe and Mond-Weir dual problems and investigate duality relations under convexity assumptions. Some examples are given to verify our results.
Classification : 90C46, 90C33, 49K10
Keywords: Multiobjective Semi-Infinite Programming, Equilibrium Constraints, Constraint Qualifications, Karush-Kuhn-Tucker Optimality Conditions, Mond-Weir Duality, Wolfe Duality. 
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     author = {Thanh Tung Le},
     title = {Karush-Kuhn-Tucker {Optimality} {Conditions} and {Duality} for {Multiobjective} {Semi-Infinite} {Programming} {With} {Equilibrium} {Constraints}},
     journal = {Yugoslav journal of operations research},
     pages = {429 },
     publisher = {mathdoc},
     volume = {31},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a0/}
}
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Thanh Tung Le. Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Equilibrium Constraints. Yugoslav journal of operations research, Tome 31 (2021) no. 4, p. 429 . http://geodesic.mathdoc.fr/item/YJOR_2021_31_4_a0/