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Characterizations of strict local minima and necessary conditions for weak sharp minima. (English) Zbl 0797.90101
Summary: In nonlinear programming, sufficient conditions of order \(m\) usually identify a special type of local minimizers, here termed a strict local minimizer of order \(m\). It is demonstrated that, if a constraint qualification is satisfied, standard sufficient conditions often characterize this special sort of minimizer. The first- and second-order cases are treated in detail. Necessary conditions for weak sharp local minima of order \(m\), a larger class of local minima, are also presented.

MSC:
90C30 Nonlinear programming
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