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.
Mokhtavayi, H. , Heidari, A. and Kanzi, N. (2021). Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints. Computational Methods for Differential Equations, 9(2), 347-357. doi: 10.22034/cmde.2020.30733.1459
MLA
Mokhtavayi, H. , , Heidari, A. , and Kanzi, N. . "Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints", Computational Methods for Differential Equations, 9, 2, 2021, 347-357. doi: 10.22034/cmde.2020.30733.1459
HARVARD
Mokhtavayi, H., Heidari, A., Kanzi, N. (2021). 'Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints', Computational Methods for Differential Equations, 9(2), pp. 347-357. doi: 10.22034/cmde.2020.30733.1459
CHICAGO
H. Mokhtavayi , A. Heidari and N. Kanzi, "Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints," Computational Methods for Differential Equations, 9 2 (2021): 347-357, doi: 10.22034/cmde.2020.30733.1459
VANCOUVER
Mokhtavayi, H., Heidari, A., Kanzi, N. Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints. Computational Methods for Differential Equations, 2021; 9(2): 347-357. doi: 10.22034/cmde.2020.30733.1459
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