A New Proof of the Kuhn–Tucker and Farkas Theoremsстатья
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Дата последнего поиска статьи во внешних источниках: 5 октября 2018 г.
Аннотация:For the minimization problem for a differentiable function on a set defined by inequality constraints, a simple proof of the Kuhn–Tucker theorem in the Fritz John form is presented. Only an elementary property of the projection of a point onto a convex closed set is used. The approach proposed by the authors is applied to prove Farkas’ theorem. All results are extended to the case of Banach spaces.