Systems of inequalities involving convex functions
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- by Ky Fan, Irving Glicksberg and A. J. Hoffman PDF
- Proc. Amer. Math. Soc. 8 (1957), 617-622 Request permission
References
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N. Bourbaki, Espaces vectoriels topologiques, Chapters I, II, Paris, 1953.
- Walter B. Carver, Systems of linear inequalities, Ann. of Math. (2) 23 (1922), no. 3, 212–220. MR 1502612, DOI 10.2307/1967919
- Ky Fan, On systems of linear inequalities, Linear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N.J., 1956, pp. 99–156. MR 0087901 J. Farkas, Theorie der einfachen Ungleichungen, J. Reine Angew. Math. vol. 124 (1902) pp. 1-27.
- David Gale, Harold W. Kuhn, and Albert W. Tucker, Linear programming and the theory of games, Activity Analysis of Production and Allocation, Cowles Commission Monograph No. 13, John Wiley & Sons, Inc., New York, N.Y.; Chapman & Hall, Ltd., London, 1951, pp. 317–329. MR 0046018
- John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
- H. Weyl, Elementare Theorie der konvexen Polyeder, Comment. Math. Helv. 7 (1934), no. 1, 290–306 (German). MR 1509514, DOI 10.1007/BF01292722
Additional Information
- © Copyright 1957 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 8 (1957), 617-622
- MSC: Primary 90.0X
- DOI: https://doi.org/10.1090/S0002-9939-1957-0087574-2
- MathSciNet review: 0087574