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@article{IVM_2005_6_a5, author = {O. A. Zadvornov}, title = {On the convergence of a semi-explicit method with splitting for solving variational inequalities of the second kind}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {61--70}, publisher = {mathdoc}, number = {6}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2005_6_a5/} }
TY - JOUR AU - O. A. Zadvornov TI - On the convergence of a semi-explicit method with splitting for solving variational inequalities of the second kind JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2005 SP - 61 EP - 70 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2005_6_a5/ LA - ru ID - IVM_2005_6_a5 ER -
%0 Journal Article %A O. A. Zadvornov %T On the convergence of a semi-explicit method with splitting for solving variational inequalities of the second kind %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2005 %P 61-70 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2005_6_a5/ %G ru %F IVM_2005_6_a5
O. A. Zadvornov. On the convergence of a semi-explicit method with splitting for solving variational inequalities of the second kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2005), pp. 61-70. http://geodesic.mathdoc.fr/item/IVM_2005_6_a5/
[1] Golshtein E.G., Tretyakov N.V., Modifitsirovannye funktsii Lagranzha, Nauka, M., 1989, 400 pp. | MR
[2] Dyuvo G., Lions Zh.-L., Neravenstva v mekhanike i fizike, Nauka, M., 1980, 384 pp. | MR
[3] Panagiotopulos P., Neravenstva v mekhanike i ikh prilozheniya. Vypuklye i nevypuklye funktsii energii, Mir, M., 1989, 496 pp. | MR
[4] Ekland I., Temam R., Vypuklyi analiz i variatsionnye problemy, Mir, M., 1979, 400 pp. | MR
[5] Badriev I.B., Shagidullin R.R., “Issledovanie odnomernykh uravnenii staticheskogo sostoyaniya myagkoi obolochki i algoritma ikh resheniya”, Izv. vuzov. Matematika, 1992, no. 1, 8–16 | MR | Zbl
[6] Lapin A.V., “Ob issledovanii nekotorykh zadach nelineinoi teorii filtratsii”, Zhurn. vychisl. matem. i matem. fiziki, 19:3 (1979), 689–700 | MR | Zbl
[7] Glovinski R.G., Lions Zh.-L., Tremoler R., Chislennoe issledovanie variatsionnykh neravenstv, Mir, M., 1979, 576 pp. | MR
[8] Gabay D., Merscier B., “A dual algorithm for the solution of nonlinear variational problems via finite element approximation”, Computer Math. Appl., 2 (1976), 17–40 | DOI | Zbl
[9] Fortin M., Glowinski R., Résolution numériques de problèmes aux limites par des méthodes de Lagrangien augmenté, Dunod, Paris, 1983, 320 pp. | MR
[10] 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
[11] Badriev I.B., Zadvornov O.A., “Metod dekompozitsii dlya resheniya variatsionnykh neravenstv vtorogo roda s obratno silno monotonnymi operatorami”, Differents. uravneniya, 39:7 (2003), 945–951 | MR
[12] Vainberg M.M., Variatsionnyi metod i metod monotonnykh operatorov v teorii nelineinykh uravnenii, Nauka, M., 1972, 416 pp. | MR | Zbl
[13] Maruster S., “The solution by iteration of nonlinear equations in Hilbert spaces”, Proc. Amer. Math. Soc., 63:1 (1977), 69–73 | DOI | MR | Zbl
[14] Opial Z., “Weak convergence of the sequence of successive approximations for nonexpansive mappings”, Bull. Amer. Math. Soc., 73 (1967), 591–597 | DOI | MR | Zbl