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New perspective on the Kuhn–Tucker theorem

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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… Click to show full 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.

Keywords: perspective kuhn; tucker theorem; kuhn tucker; new perspective

Journal Title: Doklady Mathematics
Year Published: 2017

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