Geodesic
Boolean models and simultaneous inequalities
Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 3, pp. 44-50 Cet article a éte moissonné depuis la source Math-Net.Ru

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Boolean valued analysis is applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities. 
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S. S. Kutateladze. Boolean models and simultaneous inequalities. Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 3, pp. 44-50. http://geodesic.mathdoc.fr/item/VMJ_2009_11_3_a6/

[1] Floudas C. A., Pardalos P. M. (eds.), Encyclopedia of Optimization, Springer, Berlin etc., 2009, 4626 pp. | MR | Zbl

[2] Kusraev A. G., Kutateladze S. S., Introduction to Boolean Valued Analysis, Nauka, Moscow, 2005, 526 pp. | MR | Zbl

[3] Kusraev A. G., Kutateladze S. S., Subdifferential Calculus: Theory and Applications, Nauka, Moscow, 2007, 560 pp. | Zbl

[4] Scott D., “Boolean Models and Nonstandard Analysis”, Applications of Model Theory to Algebra, Analysis, and Probability, ed. Luxemburg W., Holt, Rinehart, and Winston, N. Y., 1969, 87–92 | MR

[5] Takeuti G., Two Applications of Logic to Mathematics, Iwanami, Tokyo; Princeton Univ. Press, Princeton, 1978, 137 pp. | MR | Zbl

[6] Fiedler M. (eds.), Linear Optimization Problems with Inexact Data, Springer, N. Y., 2006, 214 pp. | MR

[7] Mangasarian O. L., “Set containment characterization”, J. Glob. Optim., 24:4 (2002), 473–480 | DOI | MR | Zbl