@article{ZVMMF_2006_46_10_a5,
author = {A. S. Antipin},
title = {Extraproximal approach to calculating equilibriums in pure exchange models},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1771--1783},
year = {2006},
volume = {46},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a5/}
}
TY - JOUR AU - A. S. Antipin TI - Extraproximal approach to calculating equilibriums in pure exchange models JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 1771 EP - 1783 VL - 46 IS - 10 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a5/ LA - ru ID - ZVMMF_2006_46_10_a5 ER -
A. S. Antipin. Extraproximal approach to calculating equilibriums in pure exchange models. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 10, pp. 1771-1783. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_10_a5/
[1] Polterovich V. M., Ekonomicheskoe ravnovesie i khozyaistvennyi mekhanizm, Nauka, M., 1990
[2] Jofre A., Rockafellar R. T., Wets R. J-B., Variational Inequalities and Economic Equilibrium, 2005 http://www.math.ucdavis.edu/rjbw/articles.htm
[3] Comckov A. I., “Model chistogo obmena”, Ekonomiko-matem. entsiklopedich. slovar, BRE, M., 2003, 59
[4] Mirkin B. G., Problema gruppovogo vybora, Nauka, M., 1974 | MR | Zbl
[5] Zlobec S., Stable parametric programming, Kluwer Acad. Publis, Dordrecht, 2001 | MR | Zbl
[6] Rockafellar R. T., Wets R. J-B., Variational analysis, Springer, Berlin, 1998 | MR | Zbl
[7] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002
[8] Bakushinskii A. B., Goncharskii A. I., Nekorrektnye zadachi. Chislennye metody i prilozheniya, MGU, M., 1989
[9] Antipin A. C., “Minimizatsiya vypuklykh funktsii na vypuklykh mnozhestvakh s pomoschyu differentsialnykh uravnenii”, Differents. ur-niya, 30:9 (1994), 1475–1486 | MR | Zbl
[10] Antipin A. C., “Upravlyaemye proksimalnye differentsialnye sistemy dlya resheniya sedlovykh zadach”, Differents. ur-niya, 1992, no. 2, 215–225
[11] Antipin A. C., “Ekstraproksimalnyi metod resheniya ravnovesnykh i igrovykh zadach”, Zh. vychisl. matem. i matem. fiz., 45:11 (2005), 1969–1990 | MR | Zbl
[12] Smale S., “Mathamatical problems for the next century”, Math. Intelligencer, 20 (1998), 7–15 ; Smeil S., “Matematicheskie problemy sleduyuschego stoletiya”, Sovrem. probl. khaosa i nelineinosti, Moskva, Izhevsk, 2002, 280–303 | DOI | MR | Zbl
[13] Jofre A., Rockafellar R. T., Wets R.J-B., A variational inequality scheme for determining an economic equilibrium, 2003 http://www.math.ucdavis.edu/rjbw/articles.htm | Zbl
[14] Movshovich S. M., “Protsessy regulirovaniya tsen”, Ekonomiko-matem. entsiklopedich. slovar, BRE, M., 2003, 453
[15] Antipin A. C., “Ekstrapolyatsionnye metody vychisleniya sedlovoi tochki funktsii Lagranzha i ikh primenenie k zadacham s blochno-separabelnoi strukturoi”, Zh. vychisl. matem. i matem. fiz., 1:1 (1986), 150–151
[16] Antipin A. C., “Ravnovesnoe programmirovanie: proksimalnye metody”, Zh. vychisl. matem. i matem. fiz., 37:11 (1997), 1327–1339 | MR | Zbl
[17] Antipin A. S., “A feasible method akin to gradient projection method for solution of convex programming problem”, Methods Math. Program, PWN-Polish Scient. Publs, Warszawa, 1981, 7–11
[18] Antipin A. C., “Metod vnutrennei linearizatsii”, Zh. vychisl. matem. i matem. fiz., 33:12 (1993), 1776–1791 | MR | Zbl
[19] 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