This article is cited in 1 paper

Theorems on the existence of an implicit function in the theory of necessary and sufficient conditions for an extremum

S. V. Burtsev


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.

UDC: 517.97+517.275

MSC: 26B10, 49J27, 49K27

Received: 18.02.1993

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1995, 82:1, 65–85

Bibliographic databases:

• 
• 
•