An equivalent one level optimization problem to a semivectorial bilevel problem.

In this paper, we are concerned with a bilevel optimization problem P0<inline-graphic></inline-graphic>, where the lower level problem is a vector optimization problem. First, we give an equivalent one level optimization problem for which the nonsmooth Mangasarian–Fromowitz constraint qualification can hold at feasible solution. Using a special scalarization function, one deduces necessary optimality condition for the initial problem. [ABSTRACT FROM AUTHOR]