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Duality in nonlinear programming and the minimax theorem. (English) Zbl 0152.38104

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[1] Dennis, J. B.: Mathematical Programming and Electrical Networks. Cambridge, Mass.: Technology Press 1959.
[2] Dorn, W. S.: A Duality Theorem for Convex Programs. IBM J. Research and Development4, 407-413 (1960). · Zbl 0095.14503 · doi:10.1147/rd.44.0407
[3] Fenchel, W.: Convex Cones, Sets, and Functions. Lecture Notes, Department of Mathematics, Princeton University, 1953. · Zbl 0053.12203
[4] Goldman, A. J., andA. W. Tucker: Theory of Linear Programming. In: Linear Inequalities and Related Systems (Annals of Mathematics Studies No.38,H. W. Kuhn andA. W. Tucker (eds.), 53-97. Princeton: Princeton University Press 1956. · Zbl 0072.37601
[5] Hanson, M. A.: A Duality Theorem in Nonlinear Programming with Nonlinear Constraints. Australian J. Statistics3, 63-72 (1961). · Zbl 0102.15601
[6] Huard, P.: Dual Programs. IBM J. Research and Development6, 137-139 (1962). · Zbl 0116.12403 · doi:10.1147/rd.61.0137
[7] Kakutani, S.: A Generalization of Brouwer’s Fixed Point Theorem. Duke Math. J.8, 457-458 (1941). · Zbl 0061.40304 · doi:10.1215/S0012-7094-41-00838-4
[8] Karlin, S.: Mathematical Methods and Theory in Games, Programming and Economics, vol. I, p. 201-203. London: Addison Wesley Publ. Company Inc. 1959.
[9] Kuhn, H. W., andA. W. Tucker: Nonlinear Programming. Proc. 2nd Berkeley Symp. on Mathematical Statistics and Probability, 481-492. Berkeley and Los Angeles: University of California Press 1951. · Zbl 0044.05903
[10] Mangasarian, O. L.: Duality in Nonlinear Programming. Quarterly of Appl. Math.20, 300-302 (1962). · Zbl 0113.35703
[11] Wolfe, P.: A Duality Theorem for Non-Linear Programming. Quarterly of Appl. Math.19, 239-244 (1961). · Zbl 0109.38406
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