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

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

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.

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شناسه ملی سند علمی:

JR_CMDE-9-2_002

تاریخ نمایه سازی: 15 بهمن 1401

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Mokhtavayi, Hadis and Heidari, Aghileh and Kanzi, Nader,1400,Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints,https://civilica.com/doc/1597955

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Ranking of Payame Noor University

Type of center: پیام نور

Paper count: 90,618

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