Abstract
A new proof of the Kuhn–Tucker theorem on necessary conditions for a minimum of a differentiable function of several variables in the case of inequality constraints is given. The proof relies on a simple inequality (common in textbooks) for the projection of a vector onto a convex set.
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Original Russian Text © Yu.G. Evtushenko, A.A. Tret’yakov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 476, No. 1, pp. 11–13.
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Evtushenko, Y.G., Tret’yakov, A.A. New perspective on the Kuhn–Tucker theorem. Dokl. Math. 96, 427–429 (2017). https://doi.org/10.1134/S1064562417050039
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DOI: https://doi.org/10.1134/S1064562417050039