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Ordinary convex programs without a duality gap. (English) Zbl 0198.24604

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[1] Rockafellar, R. T.,Duality in Nonlinear Programming, Mathematics of the Decision Sciences, Part I, Edited by G. B. Dantzig and A. F. Veinott, American Mathematical Society, Providence, Rhode Island, 1968.
[2] Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970. · Zbl 0193.18401
[3] Geoffrion, A.,Duality in Nonlinear Programming: A Simplified Applications-Oriented Development, University of California at Los Angeles, Western Management Science Institute, Working Paper No. 150, 1969. · Zbl 0191.48603
[4] Kuhn, H. W., andTucker, A. W.,Nonlinear Programming, Proceedings of the Second Berkeley Symposium on Mathematics, Statistics and Probability, Edited by J. Neyman, University of California Press, Berkeley, California, 1951.
[5] Fan, K., Glicksberg, I., andHoffman, A. J.,Systems of Inequalities Involving Convex Functions, Proceedings of the American Mathematical Society, Vol. 8, No. 3, 1957.
[6] Rockafellar, R. T.,Helly’s Theorem and Minima of Convex Functions, Duke Mathematical Journal, Vol. 32, No. 3, 1965. · Zbl 0144.42805
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