Title of article :
Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints
Author/Authors :
Mokhtavayi ، Hadis Department of Mathematics - Payam Noor University , Heidari ، Aghileh Department of Mathematics - Payam Noor University , Kanzi ، Nader Department of Mathematics - Payam Noor University
Abstract :
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.
Keywords :
Stationary conditions , Vanishing constraints , Nonsmooth optimization , Constraint qualification
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
