Sufficient conditions for extremum, penalty functions and regularity
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.