On the equivalence of some necessary conditions for vector-valued criteria problems
W. E. Schmitendorf, J. Walker · IEEE Transactions on Automatic Control · 1973
Two types of necessary conditions have been derived for Pareto optimal solutions of vector-valued criteria problems. One type involves a scalarization process, while the other is in terms of a rank condition. In this correspondence it is shown that the two sets of necessary conditions are equivalent in the sense that if a solution satisfies one set of necessary conditions, it also satisfies the other.