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Karush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints

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.