Karush-Kuhn-Tucker Optimality Conditions and Duality for Multiobjective Semi-Infinite Programming With Equilibrium Constraints


Thanh Tung Le




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.