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Exact penalties for optimization problems with 2-regular equality constraints
Authors:E R Avakov  A V Arutyunov  A F Izmailov
Institution:(1) Institute of Control Sciences, 65 Profsoyuznaya ul., Moscow, 117806, Russia;(2) Peoples Friendship University, 6 ul. Miklukho-Maklaya, Moscow, 117198, Russia;(3) Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Abstract:A new first-order sufficient condition for penalty exactness that includes neither the standard constraint qualification requirement nor the second-order sufficient optimality condition is proposed for optimization problems with equality constraints.
Keywords:optimization problem  exact penalty  regularity  2-regularity
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