Geodesic
On Farkas-type theorems
Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 46A99, 47A05, 90C05, 90C48 
@article{CMUC_1981_22_1_a0,
     author = {Schirotzek, Winfried},
     title = {On {Farkas-type} theorems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {1--14},
     year = {1981},
     volume = {22},
     number = {1},
     mrnumber = {609932},
     zbl = {0459.47001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a0/}
}
TY  - JOUR
AU  - Schirotzek, Winfried
TI  - On Farkas-type theorems
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1981
SP  - 1
EP  - 14
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a0/
LA  - en
ID  - CMUC_1981_22_1_a0
ER  - 
%0 Journal Article
%A Schirotzek, Winfried
%T On Farkas-type theorems
%J Commentationes Mathematicae Universitatis Carolinae
%D 1981
%P 1-14
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a0/
%G en
%F CMUC_1981_22_1_a0
Schirotzek, Winfried. On Farkas-type theorems. Commentationes Mathematicae Universitatis Carolinae, Tome 22 (1981) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/CMUC_1981_22_1_a0/

[1] A. BEN-ISRAEL A. CHARNES: On the intersection of cones and subspaces. Bull. Amer. Math. Soc. 74 (1968), 541-544. | MR

[2] N. BOURBAKI: Espaces vectoriels topologiques. Chap. III-V, Hermann, Paris, 1964.

[3] B. D. CRAVEN J. J. KOLIHA: Generalizations of Farkas' theorem. SIAM J. Math. Anal. 8 (1977), 983-997. | MR

[4] J. DIEUDONNÉ: Sur la séparation des ensembles convexes. Math. Ann. 163 (1966), 1-3. | MR

[5] A. Я. ДУБОВИЦКИЙ, А. А. МИЛЮТИН: 3адачи на екстремум при наличии ограничений. Ж. вычисл. мат. и мат. физики 5 (1965), 395-453. | MR | Zbl

[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

[7] K. FAN: A generalization of the Alaoglu-Bourbaki theorem and its applications. Math. Z. 88 (1965), 48-60. | MR | Zbl

[8] K. FAN: Asymptotic cones and duality of linear relations. J. Approximation Theory 2 (1969), 152-159. | MR | Zbl

[9] J. FARKAS: Über die Theorie der einfachen Ungleichungen. J. Reine Angew. Math, 124 (1902), 1-27.

[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

[11] K. S. KRETSCHMER: Programmes in paired spaces. Canad. J. Math. 13 (1961), 221-238. | MR | Zbl

[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

[13] P. LEVINE J.-Ch. POMEROL: Infinite programming and duality in topological vector spaces. J. Math. Anal. Appl. 46 (1974), 75-89. | MR

[14] T. NAKAMURA M. YAMASAKI: Sufficient conditions for duality theorems in infinite linear programming problems. Hiroshima Math. J. 9 (1979), 323-334. | MR

[15] M. SCHECHTER: Linear programs in topological vector spaces. J. Math. Anal. Appl. 37 (1972), 492-500. | MR | Zbl

[16] M. SCHECHTER: A solvability theorem for homogeneous functions. SIAM J. Math. Anal. 7 (1976), 696-701. | MR | Zbl