This article is cited in 11 papers

Necessary optimality conditions in an abnormal optimization problem with equality constraints

A. V. Arutyunov^a, D. Yu. Karamzin<sup>b

a</sup> Department of Differential Equations, Russian University of Peoples' Friendship, ul. Miklukho-Maklaya 6, Moscow, 119198, Russia
^b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: An abnormal minimization problem with equality constraints and a finite-dimensional image is examined. Second-order necessary conditions for this problem are given that strengthen previously known results.

Key words: abnormal optimization problem, second-order necessary optimality conditions.

UDC: 519.626

Received: 26.12.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:8, 1293–1298

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