Geodesic
A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 637-649 Cet article a éte moissonné depuis la source Math-Net.Ru

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A regularized continuous variant of the first-order prediction linearization method in a variable-metric space is proposed for solving equilibrium problems with an inaccurately prescribed set. The convergence of the trajectory to a normal solution to this problem for an arbitrarily chosen initial point is proved. A regularizing operator is constructed. 
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A. B. Budak. A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 4, pp. 637-649. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_4_a6/

[1] Budak B. A., “Nepreryvnyi metod linearizatsii pervogo poryadka s peremennoi metrikoi dlya resheniya zadach ravnovesnogo programmirovaniya”, Vestn. MGU. Ser. 15. Vychisl matem. i kibernetika, 2004, no. 2, 20–26 | MR | Zbl

[2] Antipin A. C., “Metod vnutrennei linearizatsii dlya zadach ravnovesnogo programmirovaniya”, Zh. vychisl. matem. i matem. fiz., 40:8 (2000), 1142–1162 | MR

[3] Antipin A. S., “Linearization method for solving equilibrium programming problems. Optimization”, Lect. Notes in Econom. and Math. Systems, 481, Springer, Berlin, 2000, 1–24 | MR | Zbl

[4] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002

[5] Antipin A. S., Vasilev F. P., “Metod regulyarizatsii poiska nepodvizhnoi tochki ekstremalnykh otobrazhenii”, Vestn. MGU. Ser. 15. Vychisl matem. i kibernetika, 2003, no. 1, 11–14 | MR

[6] Shpirko C. B., “O suschestvovanii i edinstvennosti resheniya zadachi ravnovesnogo programmirovaniya”, Izv. vuzov. Ser. Matematika, 2002, no. 12, 79–83 | MR