Optimality Conditions for a Nonsmooth Semivectorial Bilevel Optimization Problem
Stephan Dempe, Nazih Abderrazzak Gadhi, Mohammed El Idrissi · Numerical Functional Analysis and Optimization · 2021
In this paper, we are concerned with a nonsmooth semivectorial bilevel optimization problem (P). Using a scalarization technique, we transform the lower-level problem into several scalar optimization problems (Pzxs). We give necessary optimality condition in terms of the limiting subdifferentials and the limiting normal cones. Completely detailed first-order necessary optimality conditions are then derived in the special case where all functions are strictly differentiable.