Karush-Kuhn-Tucker optimality conditions and duality for semi-infinite programming problems with vanishing constraints
Journal of Nonlinear and Variational Analysis · 2020
This paper is concerned with the semi-infinite programming problems with vanishing constraints.Both necessary and sufficient Karush-Kuhn-Tucker optimality conditions for the semi-infinite programming problems with vanishing constraints are established.We also formulate types of Wolfe and Mond-Weir dual problems and explore duality relations under convexity assumptions.Some examples are given to illustrate our results.