Pshenichnyi, B. N. Necessary conditions for an extremum, penalty functions, and regularity. (Russian) Zbl 0764.90079 Ukr. Mat. Zh. 44, No. 6, 805-812 (1992). A very general concept of regularity of points related to systems of simultaneous nonlinear equations is introduced. This leads to stronger first order necessary conditions for a local minimum of nondifferentiable optimisation problems at regular points. The connection to unconstrained optimisation problems via penalty functions is also discussed. Reviewer: E.Iwanow (Wien) Cited in 1 ReviewCited in 150 Documents MSC: 90C30 Nonlinear programming 49J52 Nonsmooth analysis Keywords:generalized subgradients; regularity of points; systems of simultaneous nonlinear equations; first order necessary conditions; local minimum; nondifferentiable optimisation; penalty functions PDF BibTeX XML Cite \textit{B. N. Pshenichnyi}, Ukr. Mat. Zh. 44, No. 6, 805--812 (1992; Zbl 0764.90079) Full Text: DOI OpenURL