Necessary conditions for an extremum in a mathematical programming problem
Evgeny Rachievich Avakov, Aram Vladimirovich Arutyunov, Alexey F. Izmailov · Proceedings of the Steklov Institute of Mathematics · 2007
For minimization problems with equality and inequality constraints, first-and second-order necessary conditions for a local extremum are presented. These conditions apply when the constraints do not satisfy the traditional regularity assumptions. The approach is based on the concept of 2-regularity; it unites and generalizes the authors’ previous studies based on this concept.