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Necessary conditions for an extremum, penalty functions, and regularity. (Russian) Zbl 0764.90079

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)

MSC:

90C30 Nonlinear programming
49J52 Nonsmooth analysis
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