| Title:
|
First-order necessary condition for the existence of optimal point in nonlinear programming problem (English) |
| Author:
|
Palata, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1980 |
| Pages:
|
257-266 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
contact cone |
| Keyword:
|
conical approximation |
| Keyword:
|
existence of local extrema |
| Keyword:
|
local disjontness of sets |
| Keyword:
|
necessary disjointness conditions |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0439.90082 |
| idMR:
|
MR0583586 |
| DOI:
|
10.21136/AM.1980.103859 |
| . |
| Date available:
|
2008-05-20T18:14:35Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103859 |
| . |
| Reference:
|
[1] R.Tyrrell Rockafellar: Выпуклый анализ.Мир. Москва, 1973. Zbl 0301.90039, MR 1751725 |
| Reference:
|
[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 |
| Reference:
|
[3] Владимир Гриогорзвич Болтянский: Метод шатров в теории экстремальных задач.Успехи математических наук, 30 (1975), 3, 3-55. Zbl 1170.01354 |
| . |
