Optimality conditions in abnormal extremal problems

In this paper we study the minimization problem with constraints. The first- and second-order necessary conditions are obtained. These conditions are also informative in the abnormal case in contrast to the classical ones. We introduce the class of 2-normal constraints. It is shown that for 2-normal constraints the gap between the obtained necessary conditions and the sufficient conditions is minimal. It is proved that a generic map is 2-normal.

Авторы
Редакторы
-
Издательство
Elsevier
Номер выпуска
5
Язык
Английский
Страницы
279-284
Статус
Опубликовано
Подразделение
-
Номер
-
Том
27
Год
1996
Организации
  • 1 Dept. Differentional Equat. Funct., People's Friendship Univ. of Russia, Mikluho-Maklaia 6, Moscow 117198, Russian Federation
Ключевые слова
2-Normal mapping; Abnormal point; Index of quadratic form; Lagrange multipliers; Second-order necessary conditions
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/820/