Characterizations of strict local minima and necessary conditions for weak sharp minima

Journal of Optimization Theory and Applications - Tập 80 - Trang 551-571 - 1994
D. E. Ward1
1Department of Mathematics and Statistics, Miami University, Oxford

Tóm tắt

In nonlinear programming, sufficient conditions of orderm usually identify a special type of local minimizer, here termed a strict local minimizer of orderm. In this paper, 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 orderm, a larger class of local minima, are also presented.

Tài liệu tham khảo

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