This article is cited in 2 papers

A weakened variant of the law of Lagrange multipliers in a Banach space

M. F. Sukhinin

Moscow Textile Institute

Abstract: The notion of a quasicritical mapping of a Banach space into another Banach space is introduced and a theorem on the equivalence of this notion (under some additional assumptions) to a weakened variant of the law of the Lagrange multipliers in the form of an inequality is proved

UDC: 519.3

Received: 05.02.1975

 English version: Mathematical Notes, 1977, 21:2, 124–126

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