Title:
|
On Carathéodory's and Krein-Milman's theorems in fully ordered groups (English) |
Author:
|
Helbig, Siegfried |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
29 |
Issue:
|
1 |
Year:
|
1988 |
Pages:
|
157-167 |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
MSC:
|
06F99 |
MSC:
|
46B99 |
MSC:
|
46P05 |
MSC:
|
52A01 |
MSC:
|
91B99 |
idZBL:
|
Zbl 0652.06010 |
idMR:
|
MR937558 |
. |
Date available:
|
2008-06-05T21:32:03Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106606 |
. |
Reference:
|
[1] P. BUTKOVIC: On certain properties of the system of linear extremal equations.Ekonomicko-matematický obzor 14 (1978), 72-78. Zbl 0381.15008, MR 0489934 |
Reference:
|
[2] S. HELBIG: Parametric optimization in certain lattice-ordered groups: variable objective function.in: J. Guddat, H. Th. Jongen, B. Kummer, F. Nožička, Parametric optimization and related topics, Akademie-Verlag, Berlin, 1987, 163-182. Zbl 0641.90090, MR 0909728 |
Reference:
|
[3] S. HELBIG: Parametrische semi-infinite Optimierung in totalgeordneten Gruppen.Rita G. Fischer-Verlag, Frankfurt/Main, 1987. |
Reference:
|
[4] A. I. KOKORIN V. M. KOPYTOV: Fully ordered groups.John Wiley & Sons, New York, London, 1974. MR 0364051 |
Reference:
|
[5] J. NEDOMA: Řešení optimalizačních úloh na ohodnocených orientovaných grafech pomocí extremální algebry.Ekonomicko-matematická laboratoř při Ekonomickém ústavu ČSAV, Prague, 1974. |
Reference:
|
[6] K. ZIMMERMANN: A general separation theorem in extremal algebras.Ekonomicko-matematický obzor 13 (1977), 179-201. Zbl 0365.90127, MR 0453607 |
. |