A Fixed Point Approach to Bi-level Multi-objective Problems

The present note aims at introducing a new approach for handling bi-level multi-objective problems. The advantage consists in the fact that, for solving the upper level, it does not require to know explicitly the lower level. Here, the linear case is fully treated. Hints are given on how to extent it to the important class of the cono-functions, which contains that of the convex functions, and is one of the few extensions of convex functions which are numerically viable. The final section gives suggestions for further research in the field.