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Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints

Publish Year: 1400
Type: Journal paper
Language: English
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JR_CMDE-9-2_002

Index date: 4 February 2023

Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints 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.

Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints Keywords:

Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints authors

Hadis Mokhtavayi

Department of Mathematics, Payam Noor University, P. O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Aghileh Heidari

Department of Mathematics, Payam Noor University, P. O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Nader Kanzi

Department of Mathematics, Payam Noor University, P. O. Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.