| Title:
|
On Farkas-type theorems (English) |
| Author:
|
Schirotzek, Winfried |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
1-14 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A99 |
| MSC:
|
47A05 |
| MSC:
|
90C05 |
| MSC:
|
90C48 |
| idZBL:
|
Zbl 0459.47001 |
| idMR:
|
MR609932 |
| . |
| Date available:
|
2008-06-05T21:06:54Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106049 |
| . |
| Reference:
|
[1] A. BEN-ISRAEL A. CHARNES: On the intersection of cones and subspaces.Bull. Amer. Math. Soc. 74 (1968), 541-544. MR 0232183 |
| Reference:
|
[2] N. BOURBAKI: Espaces vectoriels topologiques.Chap. III-V, Hermann, Paris, 1964. |
| Reference:
|
[3] B. D. CRAVEN J. J. KOLIHA: Generalizations of Farkas' theorem.SIAM J. Math. Anal. 8 (1977), 983-997. MR 0471302 |
| Reference:
|
[4] J. DIEUDONNÉ: Sur la séparation des ensembles convexes.Math. Ann. 163 (1966), 1-3. MR 0194865 |
| Reference:
|
[5] A. Я. ДУБОВИЦКИЙ, А. А. МИЛЮТИН: 3адачи на екстремум при наличии ограничений.Ж. вычисл. мат. и мат. физики 5 (1965), 395-453. Zbl 0255.00003, MR 0191691 |
| Reference:
|
[6] R. J. DUFFIN: Infinite programs, in Kuhn-Tucker (eds.): "Linear inequalities and related systems".pp. 157-170, Princetovn Univ. Press, Princeton, K.J., 1956. MR 0087573 |
| Reference:
|
[7] K. FAN: A generalization of the Alaoglu-Bourbaki theorem and its applications.Math. Z. 88 (1965), 48-60. Zbl 0135.34402, MR 0178326 |
| Reference:
|
[8] K. FAN: Asymptotic cones and duality of linear relations.J. Approximation Theory 2 (1969), 152-159. Zbl 0174.17801, MR 0248497 |
| Reference:
|
[9] J. FARKAS: Über die Theorie der einfachen Ungleichungen.J. Reine Angew. Math, 124 (1902), 1-27. |
| Reference:
|
[10] L. HURWICZ: Programming in linear spaces, in Arrow-Hurwicz-Uzawa (eds.); "Studies in linear and non-linear programming".pp. 38-102, Stanford Univ. Press, Stanford, CA, 1958. MR 0108399 |
| Reference:
|
[11] K. S. KRETSCHMER: Programmes in paired spaces.Canad. J. Math. 13 (1961), 221-238. Zbl 0097.14705, MR 0155684 |
| Reference:
|
[12] P. LEVINE J.-Ch. POMEROL: Sur un théoreme de dualité, et ses applications a la programmation linéaire dans les espaces vectoriels topologiques.C.R. Acad. Sci., Paris, Sér. A, 274 (1972), 1722-1724. MR 0305105 |
| Reference:
|
[13] P. LEVINE J.-Ch. POMEROL: Infinite programming and duality in topological vector spaces.J. Math. Anal. Appl. 46 (1974), 75-89. MR 0371414 |
| Reference:
|
[14] T. NAKAMURA M. YAMASAKI: Sufficient conditions for duality theorems in infinite linear programming problems.Hiroshima Math. J. 9 (1979), 323-334. MR 0535516 |
| Reference:
|
[15] M. SCHECHTER: Linear programs in topological vector spaces.J. Math. Anal. Appl. 37 (1972), 492-500. Zbl 0235.90037, MR 0290789 |
| Reference:
|
[16] M. SCHECHTER: A solvability theorem for homogeneous functions.SIAM J. Math. Anal. 7 (1976), 696-701. Zbl 0341.90043, MR 0417922 |
| . |
