Abstract:
The implicit function theorem and its generalizations are widely used in the theory of extremum problems. Two such generalizations are given in this paper. As applications of them certain results on necessary and sufficient conditions for an extremum are proved.
Citation:
S. V. Burtsev, “Theorems on the existence of an implicit function in the theory of necessary and sufficient conditions for an extremum”, Russian Acad. Sci. Sb. Math., 82:1 (1995), 65–85
\Bibitem{Bur94}
\by S.~V.~Burtsev
\paper Theorems on the~existence of an~implicit function in the~theory of necessary and sufficient conditions for an~extremum
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 82
\issue 1
\pages 65--85
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\crossref{https://doi.org/10.1070/SM1995v082n01ABEH003552}
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Linking options:
https://www.mathnet.ru/eng/sm897
https://doi.org/10.1070/SM1995v082n01ABEH003552
https://www.mathnet.ru/eng/sm/v185/i5/p79
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