Constraint Qualifications
Mikhail V. Solodov · Wiley Encyclopedia of Operations Research and Management Science · 2011
Abstract We discuss assumptions on the constraint functions that allow constructive description of the geometry of a given set around a given point in terms of the constraints derivatives. Consequences for characterizing solutions of variational and optimization problems are discussed. In the optimization case, these include primal and primal‐dual first‐ and second‐order necessary optimality conditions.