@article{ZVMMF_2011_51_5_a2,
author = {I. P. Ryazantseva},
title = {Certain first-order iterative methods for mixed variational inequalities in {a~Hilbert} space},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {762--770},
year = {2011},
volume = {51},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a2/}
}
TY - JOUR AU - I. P. Ryazantseva TI - Certain first-order iterative methods for mixed variational inequalities in a Hilbert space JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 762 EP - 770 VL - 51 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a2/ LA - ru ID - ZVMMF_2011_51_5_a2 ER -
%0 Journal Article %A I. P. Ryazantseva %T Certain first-order iterative methods for mixed variational inequalities in a Hilbert space %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2011 %P 762-770 %V 51 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a2/ %G ru %F ZVMMF_2011_51_5_a2
I. P. Ryazantseva. Certain first-order iterative methods for mixed variational inequalities in a Hilbert space. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 5, pp. 762-770. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_5_a2/
[1] Vainberg M. M., Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii, Nauka, M., 1972
[2] Ryazantseva I. P., Izbrannye glavy teorii operatorov monotonnogo tipa, NGTU, Nizhnii Novgorod, 2008
[3] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972
[4] Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Mir, M., 1980
[5] Baiokki K., Kapelo A., Variatsionnye i kvazivariatsionnye neravenstva. Prilozheniya k zadacham so svobodnoi granitsei, Nauka, M., 1988
[6] 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
[7] Konnov I. V., “Kombinirovannyi metod dlya resheniya variatsionnykh neravenstv s monotonnymi operatorami”, Zh. vychisl. matem. i matem. fiz., 39:7 (1999), 1091–1097
[8] Konnov I. V., Pinyagina O. V., “Metod spuska po intervalnoi funktsii dlya negladkikh zadach ravnovesiya”, Izv. vuzov. Matematika, 2003, no. 12, 71–77
[9] Antipin A. S., Vasilev F. P., “Metody regulyarizatsii dlya resheniya neustoichivykh zadach ravnovesnogo programmirovaniya so svyazannymi ogranicheniyami”, Zh. vychisl. matem. i matem. fiz., 45:1 (2005), 27–40
[10] Konnov I. V., Pinyagina O. V., “Metod spuska s netochnym lineinym poiskom dlya negladkikh ravnovesnykh zadach”, Zh. vychisl. matem. i matem. fiz., 48:10 (2008), 1812–1818
[11] Rockafellar R. T., “Monotone operators and the proximal point algorithm”, SIAM J. Control and Optimizat., 14:5 (1976), 877–898
[12] Apartsin A. S., “K postroeniyu skhodyaschikhsya iteratsionnykh protsessov v gilbertovom prostranstve”, Tr. po prikl. matem. i kibernetike, Irkutsk, 1972, 7–14
[13] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978
[14] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1988
[15] Antipin A. S., “Nepreryvnye i iterativnye protsessy s operatorami proektirovaniya i tipa proektirovaniya”, Vopr. kibernetiki. Vychisl. voprosy analiza bolshikh sistem, Nauchn. sovet po kompleksnoi probleme “Kibernetika” AN SSSR, M., 1989, 5–43