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Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints | ||
| Computational Methods for Differential Equations | ||
| مقاله 2، دوره 9، شماره 2، تیر 2021، صفحه 347-357 اصل مقاله (368.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.30733.1459 | ||
| نویسندگان | ||
| Hadis Mokhtavayi* ؛ Aghileh Heidari؛ Nader Kanzi | ||
| Department of Mathematics, Payam Noor University, P. O. Box 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| We consider a nonsmooth optimization problem with a feasible set defined by vanishing constraints. First, we introduce a constraint qualification for the problem, named NNAMCQ. Then, NNAMCQ is applied to obtain a necessary M-stationary condition. Finally, we present a sufficient condition for M-stationarity, under generalized convexity assumption. Our results are formulated in terms of Mordukhovich subdifferential. | ||
| کلیدواژهها | ||
| Stationary conditions؛ Vanishing constraints؛ Nonsmooth optimization؛ Constraint qualification | ||
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