On Farkas-type theorems

Winfried Schirotzek

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 1, page 1-14
  • ISSN: 0010-2628

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Schirotzek, Winfried. "On Farkas-type theorems." Commentationes Mathematicae Universitatis Carolinae 022.1 (1981): 1-14. <http://eudml.org/doc/17083>.

@article{Schirotzek1981,
author = {Schirotzek, Winfried},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {adjoints of linear mappings; Farkas type theorems; duality in linear programmings},
language = {eng},
number = {1},
pages = {1-14},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On Farkas-type theorems},
url = {http://eudml.org/doc/17083},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Schirotzek, Winfried
TI - On Farkas-type theorems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 1
SP - 1
EP - 14
LA - eng
KW - adjoints of linear mappings; Farkas type theorems; duality in linear programmings
UR - http://eudml.org/doc/17083
ER -

References

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  1. A. BEN-ISRAEL A. CHARNES, On the intersection of cones and subspaces, Bull. Amer. Math. Soc. 74 (1968), 541-544. (1968) MR0232183
  2. N. BOURBAKI, Espaces vectoriels topologiques, Chap. III-V, Hermann, Paris, 1964. (1964) 
  3. B. D. CRAVEN J. J. KOLIHA, Generalizations of Farkas' theorem, SIAM J. Math. Anal. 8 (1977), 983-997. (1977) MR0471302
  4. J. DIEUDONNÉ, Sur la séparation des ensembles convexes, Math. Ann. 163 (1966), 1-3. (1966) MR0194865
  5. A. Я. ДУБОВИЦКИЙ, А. А. МИЛЮТИН, 3адачи на екстремум при наличии ограничений, Ж. вычисл. мат. и мат. физики 5 (1965), 395-453. (1965) Zbl0255.00003MR0191691
  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. (1956) MR0087573
  7. K. FAN, A generalization of the Alaoglu-Bourbaki theorem and its applications, Math. Z. 88 (1965), 48-60. (1965) Zbl0135.34402MR0178326
  8. K. FAN, Asymptotic cones and duality of linear relations, J. Approximation Theory 2 (1969), 152-159. (1969) Zbl0174.17801MR0248497
  9. J. FARKAS, Über die Theorie der einfachen Ungleichungen, J. Reine Angew. Math, 124 (1902), 1-27. (1902) 
  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. (1958) MR0108399
  11. K. S. KRETSCHMER, Programmes in paired spaces, Canad. J. Math. 13 (1961), 221-238. (1961) Zbl0097.14705MR0155684
  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. (1972) MR0305105
  13. P. LEVINE J.-Ch. POMEROL, Infinite programming and duality in topological vector spaces, J. Math. Anal. Appl. 46 (1974), 75-89. (1974) MR0371414
  14. T. NAKAMURA M. YAMASAKI, Sufficient conditions for duality theorems in infinite linear programming problems, Hiroshima Math. J. 9 (1979), 323-334. (1979) MR0535516
  15. M. SCHECHTER, Linear programs in topological vector spaces, J. Math. Anal. Appl. 37 (1972), 492-500. (1972) Zbl0235.90037MR0290789
  16. M. SCHECHTER, A solvability theorem for homogeneous functions, SIAM J. Math. Anal. 7 (1976), 696-701. (1976) Zbl0341.90043MR0417922

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