First-order necessary condition for the existence of optimal point in nonlinear programming problem

Jan Palata

Aplikace matematiky (1980)

  • Volume: 25, Issue: 4, page 257-266
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Palata, Jan. "First-order necessary condition for the existence of optimal point in nonlinear programming problem." Aplikace matematiky 25.4 (1980): 257-266. <http://eudml.org/doc/15149>.

@article{Palata1980,
abstract = {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.},
author = {Palata, Jan},
journal = {Aplikace matematiky},
keywords = {contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions; contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions},
language = {eng},
number = {4},
pages = {257-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {First-order necessary condition for the existence of optimal point in nonlinear programming problem},
url = {http://eudml.org/doc/15149},
volume = {25},
year = {1980},
}

TY - JOUR
AU - Palata, Jan
TI - First-order necessary condition for the existence of optimal point in nonlinear programming problem
JO - Aplikace matematiky
PY - 1980
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 4
SP - 257
EP - 266
AB - 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.
LA - eng
KW - contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions; contact cone; conical approximation; existence of local extrema; local disjontness of sets; necessary disjointness conditions
UR - http://eudml.org/doc/15149
ER -

References

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  1. R.Tyrrell Rockafellar, Выпуклый анализ, Мир. Москва, 1973. (1973) Zbl0301.90039MR1751725
  2. František Nožička, Über einfache Mannigfaltigkeiten in linearem affinen Raum A n in globaler Auflassung, Czech. Math. J. 26 (1976), 101, 541 - 578. (1976) MR0516200
  3. Владимир Гриогорзвич Болтянский, Метод шатров в теории экстремальных задач, Успехи математических наук, 30 (1975), 3, 3-55. (1975) Zbl1170.01354

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