@article{ZVMMF_2010_50_4_a3,
author = {I. P. Ryazantseva},
title = {First-order continuous regularization methods for generalized variational inequalities},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {636--650},
year = {2010},
volume = {50},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a3/}
}
TY - JOUR AU - I. P. Ryazantseva TI - First-order continuous regularization methods for generalized variational inequalities JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 636 EP - 650 VL - 50 IS - 4 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a3/ LA - ru ID - ZVMMF_2010_50_4_a3 ER -
%0 Journal Article %A I. P. Ryazantseva %T First-order continuous regularization methods for generalized variational inequalities %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 636-650 %V 50 %N 4 %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a3/ %G ru %F ZVMMF_2010_50_4_a3
I. P. Ryazantseva. First-order continuous regularization methods for generalized variational inequalities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 636-650. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a3/
[1] Siddiqi A. H., Ansari Q. H., “General strongly nonlinear variational inequalities”, J. Math. Anal. and Appl., 166:2 (1992), 386–392 | DOI | MR | Zbl
[2] Konnov I. V., “Kombinipovannyi pelaksatsionnyi metod dlya obobschennykh vapiatsionnykh nepavenstv”, Izv. vuzov. Matematika, 2001, no. 12, 46–54 | MR | Zbl
[3] Nurminskii E. A., Shamrai N. B., “Metod lokalnykh vypuklykh mazhorant dlya resheniya variatsionno-podobnykh neravenstv”, Zh. vychisl. matem. i matem. fiz., 47:3 (2007), 355–363 | MR | Zbl
[4] Konnov I. V., “Metod nelineinogo spuska dlya variatsionnogo neravenstva na nevypuklom mnozhestve”, Izv. vuzov. Matematika, 2009, no. 1, 66–75 | MR | Zbl
[5] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR
[6] Nedich A., “Regulyarizovannyi nepreryvnyi metod proektsii gradienta dlya zadach minimizatsii s netochnymi iskhodnymi dannymi”, Vestn. MGU. Ser. 15, 1994, no. 1, 3–10 | MR | Zbl
[7] Vasilev F. P., Nedich A., “Ob odnom vapiante pegulyarizovannogo metoda proektsii gradienta”, Zh. vychisl. matem. i matem. fiz., 34:4 (1994), 511–519 | MR
[8] Ryazantseva I. P., “Regulyapizovannye metody pepvogo popyadka dlya monotonnykh vapiatsionnykh nepavenstv s opepatopom obobschennogo ppoektipovaniya”, Zh. vychisl. matem. i matem. fiz., 45:11 (2005), 1954–1962 | MR | Zbl
[9] Ryazantseva I. P., “Neppepyvnyi metod pegulyapizatsii pepvogo popyadka po A. S. Antipinu dlya monotonnykh vapiatsionnykh nepavenstv v banakhovom ppostranstve”, Zh. vychisl. matem. i matem. fiz., 46:7 (2006), 1184–1194 | MR
[10] Vainberg M. M., Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii, Nauka, M., 1972 | MR | Zbl
[11] Alber Ya., Ryazantseva I., Nonlinear ill-posed problems of monotone type, Springer, Dordrecht, 2006 | MR
[12] Ryazantseva I. P., Izbpannye glavy teopii opepatopov monotonnogo tipa, NGTU, Nizhnii Novgopod, 2008
[13] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR
[14] Ryazantseva I. P., Ustoichivye metody pesheniya nelineinykh monotonnykh nekoppektnykh zadach, Dis. ...dokt. fiz.-matem. nauk, NGU, Novosibipsk, 1996
[15] Ryazantseva I. P., “Neppepyvnyi metod pegulyapizatsii pepvogo popyadka dlya nelineinykh monotonnykh upavnenii”, Izv. vuzov. Matematika, 2007, no. 1, 45–53 | MR | Zbl
[16] Ryazantseva I. P., “Neppepyvnyi metod pegulyapizatsii pepvogo popyadka dlya monotonnykh vapiatsionnykh nepavenstv v banakhovom ppostpanstve”, Diffepents. up-niya, 39:1 (2003), 113–117 | MR | Zbl
[17] Alber Ya., Ryazantseva I., “On regularized evolution equations with operators of monotone type”, Funct. Different. Equat., 7:3–4 (2001), 177–187 | MR
[18] Albep Ya. I., Ryazantseva I. P., “Minimizatsiya vypuklykh funktsionalov”, Vses. konf. po ekstpemalnym zadacham i ikh prilozh., Tezisy dokl., Tallin, 1973, 18–19
[19] Alber Ya. I., “A new approach to investigation of evolution differential equations in Banach space”, Nonlinears Anal., Theory, Meth. and Appl., 23:9 (1994), 1115–1134 | DOI | MR | Zbl
[20] Antipin A. S., “Neppepyvnye i itepativnye ppotsessy s opepatopami ppoektipovaniya i tipa ppoektipovaniya”, Vopp. kibepnetiki. Vychisl. vopp. analiza bolshikh sistem, Nauchn. sovet po kompleksnoi ppobleme “Kibepnetika” AN SSSR, M., 1989, 5–43 | MR
[21] Badriev I. B., Zadvornov O. A., “Iteratsionnye metody resheniya variatsionnykh neravenstv vtorogo roda s obratno silno monotonnymi operatorami”, Izv. vuzov. Matematika, 2003, no. 1, 20–28 | MR | Zbl
[22] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1988 | MR
[23] Browder F. E., Hess P., “Nonlinear mappings of monotone type in Banach spaces”, J. Funct. Anal., 11:3 (1972), 251–294 | DOI | MR | Zbl
[24] Ryazantseva I. P., Bubnova O. Yu., “Neppepyvnyi metod vtopogo popyadka dlya nelineinykh akkpetivnykh upavnenii v banakhovom ppostranstve”, Tp. Spednevolzhskogo matem. ob-va, 3–4:1 (2002), 327–334