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References:
[1] Duffin R. J.: Infinite Programs. In Linear Inequalities and Related Systems. Ed. H. W. KUHN, A. W. Tucker. Princeton: Princeton Univ. Press, 1956, pp. 157-170. (Annals of Mathematics Studies; no. 38.) MR 0087573 | Zbl 0072.37603
[2] HAAR A.: Über lineare Ungleichungen. Acta Sci. Math., 1924, vol. 2, pp. 1-14.
[3] FAN K.: On Systems of Linear Inequalities. In Linear Inequalities and Related Systems. Ed. H. W. Kuhn, A. W. Tucker. Princeton: Princeton Univ. Press, 1956, pp. 99-156. (Annals of Mathematics Studies; no. 38.) MR 0087901 | Zbl 0072.37602
[4] Fan K., Glicksberg I., Hoffman A. J.: Systems of Inequalities Involving Convex Functions. Proceedings of the American Mathematical Society, June 1957, vol. 8, pp. 617-622. MR 0087574 | Zbl 0079.02002
[5] Farkas J.: Theorie der einfachen Ungleichungen. Journal für die reine und angewandte Mathematik, 1902, vol. 124, pp. 1-27.
[6] Grygarová L.: Úvod do lineárního programování. [An Introduction to Linear Programming, in Czech.] Praha: SPN, 1975.
[7] Craven B. D., Koliha J. J.: Generalizations of Farkas' Theorem. SIAM Journal on Mathematical Analysis, November 1977, vol. 8, no. 6, pp. 983-997. DOI 10.1137/0508076 | MR 0471302 | Zbl 0408.52006
[8] Lukeš J.: Zápisky z funkcionální analýzy. [Manuscripts on Functional Analysis, in Czech]. 1. vydání. [1st edidion.] Praha: Karolinum, 1998. 2. vydání. [2nd edidion.] Praha: Karolinum, 2002.
[9] Prékopa A.: On the Development of Optimization Theory. American Mathematical Monthly, August-September 1980, vol. 87, pp. 527-542. DOI 10.2307/2321417 | MR 0600911
[10] Weyl H.: Elementare Theorie der konvexen Polyeder. Commentarii Mathematici Helvetici, 1935, vol. 7, pp. 290-306. English translation: The elementary theory of convex polyhedra. In Contributions to the Theory of Games. Volume I. Ed. H. W. Kuhn, A. W. Tucker. Princeton: Princeton Univ. Press, 1950, pp. 3-18. (Annals of Mathematics Studies; no. 24.) Zbl 0011.41104
[11] Problem no. A.318. KöMaL, April 2003, vol. 53, no. 4, p. 255.
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