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Palata, Jan
First-order necessary condition for the existence of optimal point in nonlinear programming problem. (English). Aplikace matematiky, vol. 25 (1980), issue 4, pp. 257-266
MSC: 90C30 | MR 0583586 | Zbl 0439.90082 | DOI: 10.21136/AM.1980.103859
Keywords:
contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions
Summary:
In the paper a necessary condition is given for the existence of a minimal point of once continuously differentiable (generally non-convex) function over a general set.
References:
[1] R.Tyrrell Rockafellar: Выпуклый анализ. Мир. Москва, 1973. MR 1751725 | Zbl 0301.90039
[2] František Nožička: Über einfache Mannigfaltigkeiten in linearem affinen Raum $A_n$ in globaler Auflassung. Czech. Math. J. 26 (1976), 101, 541 - 578. MR 0516200
[3] Владимир Гриогорзвич Болтянский: Метод шатров в теории экстремальных задач. Успехи математических наук, 30 (1975), 3, 3-55. Zbl 1170.01354
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