Geodesic
Necessary optimality conditions in an abnormal optimization problem with equality constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1363-1368 
A. V. Arutyunov; D. Yu. Karamzin. Necessary optimality conditions in an abnormal optimization problem with equality constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1363-1368. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Arutyunov A. B., Usloviya ekstremuma. Anormalnye i vyrozhdennye zadachi, Faktorial, M., 1997 | MR | Zbl

[2] Shafarevich I. R., Osnovy algebraicheskoi geometrii, Nauka, M., 1972 | MR | Zbl

[3] Khartskhorn R., Algebraicheskaya geometriya, Mir, M., 1981 | MR

[4] Arutyunov A. B., Yachimovich V., “K teorii ekstremuma dlya anormalnykh zadach”, Vestn. MGU. Ser. Vychisl. matem. i kibernetika, 2000, no. 1, 34–40 | MR | Zbl

[5] Arutyunov A. V., Optimality conditions: Abnormal and degenerate problems, Kluwer Acad. Publ., London, 2000 | MR | Zbl

[6] Arutyunov A. B., “Nekotorye svoistva kvadratichnykh otobrazhenii”, Vestn. MGU. Ser. Vychisl. matem. i kibernetika, 1999, no. 2, 30–32 | MR | Zbl