Necessary conditions of extremum, penalty functions and regularity

• Date: 1992
• Main Authors: Pshenichny , B. N., Пшеничный , Б. Н.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8013
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

General conditions for regularity of a point relative to a system of nonlinear equations are stated. It is shown that if the regularity conditions are fulfilled, the general problem of mathematical programming could be reduced to the minimization of a nonsmooth penalty function and the necessary con...