Problems of Hierarchical Optimization in Finite Dimensions
Ruoxin Zhang · SIAM Journal on Optimization · 1994
In this paper two-level hierarchical optimization problems in finite dimensions are formally defined and the existence of solutions as well as various necessary optimality conditions are studied under nonsmooth settings. The assumptions made to the problems allow the objectives of both levels to be nondifferentiable and the solutions to the lower-level problems to be multivalued. Techniques of nonsmooth analysis are the primary tools for deriving the results.