An extraproximal method for solving equilibrium programming problems and games with coupled variables
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2102-2111 Cet article a éte moissonné depuis la source Math-Net.Ru

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For games and equilibrium programming problems with coupled variables generating in-equality constraints, an extraproximal method is proposed and examined. The convergence of the method is proved.
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A. S. Antipin. An extraproximal method for solving equilibrium programming problems and games with coupled variables. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2102-2111. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a1/

[1] Antipin A. S., “Gradient-type method for equilibrium programming problems with coupled constraints”, Yugoslav J. Operat. Res., 1:2 (2000), 163–184 | MR

[2] Antipin A. S., “Metody resheniya variatsionnykh neravenstv so svyazannymi ogranicheniyami”, Zh. vychisl. matem. i matem. fiz., 40:9 (2000), 1291–1307 | MR | Zbl

[3] Aubin J.-P., Frankowska H., Set valued analysis, Birkhauser, Boston etc., 1990 | MR | Zbl

[4] Antipin A. S., Gradientnyi i ekstragradientnyi podkhody v bilineinom ravnovesnom programmirovanii, VTs RAN, M., 2002 www.ccas.ru/antipin

[5] Nash J. F., Jr., “Equilibrium points in $N$-person game”, Proc. Nat. Acad. Sci. USA, 36 (1950), 48–49 | DOI | MR | Zbl

[6] Antipin A. S., “O skhodimosti i otsenkakh skorosti skhodimosti proksimalnykh metodov k nepodvizhnym tochkam ekstremalnykh otobrazhenii”, Zh. vychisl. matem. i matem. fiz., 35:5 (1995), 688–704 | MR

[7] Antipin A. S., “Reshenie variatsionnykh neravenstv so svyazannymi ogranicheniyami s pomoschyu differentsialnykh uravnenii”, Differents. ur-niya, 36:11 (2000), 1443–1451 | MR | Zbl

[8] Antipin A., “Differential equations for equilibrium problems with coupled constraints”, Nonlinear Analysis, 47 (2001), 1833–1844 | DOI | MR | Zbl

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