bilevel optimization; necessary optimality conditions; Lagrange dual problem; Wolfe duality; Mond-Weir dual problem; optimal value function transformation.

Bilevel optimization problems are hierarchical problems with a constraint set which is a subset of the graph of the solution set mapping of a second optimization problem. To investigate their properties and derive solution algorithms, their transformation into single-level ones is necessary. For this, various approaches have been developed. The rst and most often used … Read more