Geodesic
Regularization methods for solving equilibrium programming problems with coupled constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 27-40 Cet article a éte moissonné depuis la source Math-Net.Ru

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Regularization methods (stabilization, residual, and quasi-solution) for solving unstable equilibrium problems are proposed for the case when not only the objective function but also the set determined by coupled inequality constraints are given approximately. The convergence of the proposed methods is investigated, and a regularizing operator is constructed. 
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A. S. Antipin; F. P. Vasil'ev. Regularization methods for solving equilibrium programming problems with coupled constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 1, pp. 27-40. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_1_a3/

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

[2] Antipin A. S., “A gradient-type method for the equilibrium programming problem with coupled constraints”, Yugoslav J. Operat. Res., 10 (2000), 163–184 | MR | Zbl

[3] Antipin A. S., Vasilev F. P., “Metody regulyarizatsii poiska nepodvizhnoi tochki ekstremalnykh otobrazhenii”, Vestn. MGU. Ser. 15. Vychisl. matem. i kibernetika, 1998, no. 1, 11–24 | MR

[4] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

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

[6] Bakushinskii A. B., Goncharskii A. V., Iterativnye metody resheniya nekorrektnykh zadach, Gostekhteorizdat, M., 1989 | MR

[7] Antipin A. S., Vasilev F. P., “Metod stabilizatsii dlya resheniya zadach ravnovesnogo programmirovaniya s netochno zadannym mnozhestvom”, Zh. vychisl. matem. i matem. fiz., 39:11 (1999), 1779–1786 | MR | Zbl

[8] Antipin A. S., Vasilev F. P., “Metod nevyazki dlya resheniya ravnovesnykh zadach s netochno zadannym mnozhestvom”, Zh. vychisl. matem. i matem. fiz., 41:1 (2001), 3–8 | MR | Zbl

[9] Antipin A. S., Vasilev F. P., “Metod kvazireshenii dlya resheniya ravnovesnykh zadach s netochno zadannym mnozhestvom”, Vestn. RUDN. Ser. matem., 2001, no. 8(2), 10–16

[10] Antipin A. S., Vasilev F. P., “Metody regulyarizatsii dlya resheniya zadach ravnovesnogo programmirovaniya s netochnymi vkhodnymi dannymi, osnovannye na rasshirenii mnozhestva”, Zh. vychisl. matem. i matem. fiz., 42:8 (2002), 1158–1165 | MR | Zbl

[11] 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 | Zbl

[12] Antipin A. S., “Rasscheplenie gradientnogo podkhoda dlya resheniya ekstremalnykh vklyuchenii”, Zh. vychisl. matem. i matem. fiz., 38:7 (1998), 1118–1132 | MR | Zbl

[13] Antipin A. S., Gradientnyi i ekstragradientnyi podkhody v bilineinom ravnovesnom programmirovanii, VTs RAN, M., 2002