2017
Том 69
№ 9

All Issues

Sufficient conditions for extremum, penalty functions and regularity

Pshenichnyi B. N.

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Abstract

General conditions for regularity of a point relative to a system of nonlinear equations are stated. It is shown that if the regularity conditions are fulfilled, the general problem of mathematical programming could be reduced to the minimization of a nonsmooth penalty function and the necessary conditions for the extremum could be stated in the most general form.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 726-733.

Citation Example: Pshenichnyi B. N. Sufficient conditions for extremum, penalty functions and regularity // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 805–812.

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