This article is cited in 1 paper

Exact penalties for optimization problems with 2-regular equality constraints

E. R. Avakov^a, A. V. Arutyunov^b, A. F. Izmailov<sup>c

a</sup> Institute of Control Sciences, 65 Profsoyuznaya ul., Moscow, 117806, Russia
^b Peoples Friendship University, 6 ul. Miklukho-Maklaya, Moscow, 117198, Russia
^c 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.

Key words: optimization problem, exact penalty, regularity, 2-regularity.

UDC: 519.626

Received: 07.09.2007

 English version: Computational Mathematics and Mathematical Physics, 2008, 48:3, 346–353

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