{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:24:21Z","timestamp":1773617061405,"version":"3.50.1"},"reference-count":26,"publisher":"Pleiades Publishing Ltd","issue":"3","license":[{"start":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T00:00:00Z","timestamp":1646092800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,3,1]],"date-time":"2022-03-01T00:00:00Z","timestamp":1646092800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Autom Remote Control"],"published-print":{"date-parts":[[2022,3]]},"DOI":"10.1134\/s0005117922030122","type":"journal-article","created":{"date-parts":[[2022,4,17]],"date-time":"2022-04-17T16:31:14Z","timestamp":1650213074000},"page":"453-482","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On a General Scheme of Constructing Iterative Methods for Searching for a Nash Equilibrium in Concave Games"],"prefix":"10.1134","volume":"83","author":[{"given":"A. V.","family":"Chernov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"137","published-online":{"date-parts":[[2022,4,17]]},"reference":[{"key":"2261_CR1","volume-title":"Nonlinear Programming. Theory and Algorithms","author":"M.S. Bazaraa","year":"1979","unstructured":"Bazaraa, M.S. and Shetty, C.M., Nonlinear\nProgramming. Theory and Algorithms, New York\u2013Chichester\u2013Brisbane\u2013Tokyo: John\nWiley & Sons, 1979. Translated under the title: Nelineinoe\nprogrammirovanie. Teoriya i algoritmy, Moscow: Mir, 1982."},{"key":"2261_CR2","volume-title":"Operatory i iteratsionnye protsessy feeirovskogo tipa. Teoriya i prilozheniya (Operators and Iterative Processes of the Fej\u00e9r Type. Theory and Applications)","author":"V.V. Vasin","year":"2005","unstructured":"Vasin, V.V. and Eremin, I.I., Operatory i iteratsionnye protsessy\nfeeirovskogo tipa. Teoriya i prilozheniya (Operators and Iterative Processes of the\nFej\u00e9r Type. Theory and Applications), Moscow\u2013Izhevsk: Regulyarnaya Khaoticheskaya\nDin., 2005."},{"key":"2261_CR3","volume-title":"Issledovanie operatsii (Operations Research)","author":"A.A. Vasin","year":"2008","unstructured":"Vasin, A.A., Krasnoshchekov, P.S., and Morozov, V.V., Issledovanie\noperatsii (Operations Research), Moscow: ITs\n\u201cAkademiya\u201d, 2008."},{"key":"2261_CR4","volume-title":"Teoriya igr i modeli matematicheskoi ekonomiki (Game Theory and Models of Mathematical Economics)","author":"A.A. Vasin","year":"2005","unstructured":"Vasin, A.A. and Morozov, V.V., Teoriya igr i modeli matematicheskoi\nekonomiki (Game Theory and Models of Mathematical Economics), Moscow: MAKS\nPress, 2005."},{"key":"2261_CR5","volume-title":"Teoriya igr dlya ekonomistov-kibernetikov (Game Theory for Cybernetics Economists)","author":"N.N. Vorob\u2019ev","year":"1985","unstructured":"Vorob\u2019ev, N.N., Teoriya igr dlya\nekonomistov-kibernetikov (Game Theory for Cybernetics Economists), Moscow:\nNauka, 1985."},{"key":"2261_CR6","volume-title":"Metody resheniya ekstremal\u2019nykh zadach i ikh primenenie v sistemakh optimizatsii (Methods for Solving Extremum Problems and Their Application in Optimization Systems)","author":"Yu.G. Evtushenko","year":"1982","unstructured":"Evtushenko, Yu.G., Metody resheniya ekstremal\u2019nykh zadach i ikh\nprimenenie v sistemakh optimizatsii (Methods for Solving Extremum Problems and\nTheir Application in Optimization Systems), Moscow: Nauka, 1982."},{"key":"2261_CR7","volume-title":"Optimizatsiya i bystroe avtomaticheskoe differentsirovanie (Optimization and Fast Automatic Differentiation)","author":"Yu.G. Evtushenko","year":"2013","unstructured":"Evtushenko, Yu.G., Optimizatsiya i bystroe avtomaticheskoe\ndifferentsirovanie (Optimization and Fast Automatic Differentiation), Moscow: VTs\nim. A.A. Dorodnitsyna Ross. Akad. Nauk, 2013."},{"key":"2261_CR8","volume-title":"Nestatsionarnye protsessy matematicheskogo programmirovaniya (Nonstationary Processes of Mathematical Programming)","author":"I.I. Eremin","year":"1979","unstructured":"Eremin, I.I. and Mazurov, V.D., Nestatsionarnye protsessy\nmatematicheskogo programmirovaniya (Nonstationary Processes of Mathematical\nProgramming), Moscow: Nauka, 1979."},{"key":"2261_CR9","unstructured":"Eremin, I.I. and Patsko, S.V., Fej\u00e9r processes for infinite systems\nconvex inequalities, Proc. Steklov Inst. Math. (Suppl.),\n2002, no. 1, pp. S32\u2013S51."},{"key":"2261_CR10","volume-title":"Feierovskie metody dlya zadach vypukloi i lineinoi optimizatsii (Fej\u00e9r methods for convex and linear optimization problems)","author":"I.I. Eremin","year":"2009","unstructured":"Eremin, I.I., Feierovskie metody dlya zadach vypukloi i lineinoi\noptimizatsii (Fej\u00e9r methods for convex and linear optimization problems),\nChelyabinsk: Izd. Tsentr YuUrGU, 2009."},{"issue":"1","key":"2261_CR11","doi-asserted-by":"publisher","first-page":"S85","DOI":"10.1134\/S008154381005007X","volume":"268","author":"I.I. Eremin","year":"2010","unstructured":"Eremin, I.I., Contraction mappings, Proc. Steklov\nInst. Math. (Suppl.), 2010, vol. 268, no. 1, pp. S85\u2013S94.","journal-title":"Proc. Steklov Inst. Math. (Suppl.)"},{"issue":"1","key":"2261_CR12","doi-asserted-by":"publisher","first-page":"36","DOI":"10.3103\/S1066369X09010022","volume":"53","author":"I.I. Eremin","year":"2009","unstructured":"Eremin, I.I. and Popov, L.D., Fej\u00e9r processes in theory and practice:\nrecent results, Russ. Math., 2009, vol. 53, no. 1,\npp. 36\u201355.","journal-title":"Russ. Math."},{"key":"2261_CR13","volume-title":"Funktsional\u2019nyi analiz (Functional Analysis)","author":"L.V. Kantorovich","year":"1984","unstructured":"Kantorovich, L.V. and Akilov, G.P., Funktsional\u2019nyi\nanaliz (Functional Analysis), Moscow: Nauka, 1984."},{"key":"2261_CR14","volume-title":"Issledovanie operatsii v zadachakh i uprazhneniyakh (Operations Research in Problems and Exercises)","author":"V.V. Morozov","year":"1986","unstructured":"Morozov, V.V., Sukharev, A.G., and Fedorov, V.V., Issledovanie\noperatsii v zadachakh i uprazhneniyakh (Operations Research in Problems and\nExercises), Moscow: Vyssh. Shkola, 1986."},{"key":"2261_CR15","volume-title":"Vvedenie v teoriyu igr (Introduction to Game Theory)","author":"N.N. Pisaruk","year":"2015","unstructured":"Pisaruk, N.N., Vvedenie v teoriyu igr (Introduction to\nGame Theory), Minsk: Belarus. Gos. Univ., 2015."},{"key":"2261_CR16","volume-title":"Vvedenie v optimizatsiyu (Introduction to Optimization)","author":"B.T. Polyak","year":"1983","unstructured":"Polyak, B.T., Vvedenie v optimizatsiyu (Introduction to\nOptimization), Moscow: Nauka, 1983."},{"issue":"3","key":"2261_CR17","first-page":"48","volume":"7","author":"A.V. Chernov","year":"2015","unstructured":"Chernov, A.V., On the existence of a Nash equilibrium in a differential game\nrelated to elliptic equations: the monotone case, Mat. Teoriya Igr\nPril., 2015, vol. 7, no. 3, pp. 48\u201378.","journal-title":"Mat. Teoriya Igr Pril."},{"issue":"5","key":"2261_CR18","doi-asserted-by":"publisher","first-page":"964","DOI":"10.1134\/S0005117919050138","volume":"80","author":"A.V. Chernov","year":"2019","unstructured":"Chernov, A.V., On some approaches to find Nash equilibrium in concave\ngames, Autom. Remote Control, 2019, vol. 80, no. 5,\npp. 964\u2013988.","journal-title":"Autom. Remote Control"},{"key":"2261_CR19","unstructured":"Chirkina D.N., A review of the relaxation method for finding Nash equilibria\nin continuous noncooperative many-player games, Mater. XVI\nMezhdunar. molodezhnoi konf. \u201cNaukoemkie tekhnologii i intellektual\u2019nye sistemy\u20132014.\u201d Sek. 1:\n\u201cIntellektual\u2019nye sistemy\u201d (Proc. XVI Int. Youth Conf. \u201cHigh Technologies and\nIntelligent Systems\u20132014.\u201d Sec. 1: \u201cIntelligent Systems\u201d), Moscow: Mosk. Gos. Tekh. Univ.\nim. N.E. Baumana, 2014, pp. 37\u201340."},{"issue":"4","key":"2261_CR20","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1007\/s10666-018-9601-y","volume":"23","author":"J. Contreras","year":"2018","unstructured":"Contreras, J., Krawczyk, J.B., and Zuccollo, J., Playing pollution games with\nthermal electricity generators, Environ. Model. Assess.,\n2018, vol. 23, no. 4, pp. 639\u2013651.","journal-title":"Environ. Model. Assess."},{"key":"2261_CR21","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1007\/s10479-009-0653-x","volume":"175","author":"F. Facchinei","year":"2010","unstructured":"Facchinei, F. and Kanzow, C., Generalized Nash equilibrium problems,\nAnn. Oper. Res., 2010, vol. 175,\npp. 177\u2013211.","journal-title":"Ann. Oper. Res."},{"issue":"1","key":"2261_CR22","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1023\/A:1019097208499","volume":"5","author":"J.B. Krawczyk","year":"2000","unstructured":"Krawczyk, J.B. and Uryasev, S., Relaxation algorithms to find Nash equilibria\nwith economic applications, Environ. Model. Assess.,\n2000, vol. 5, no. 1, pp. 63\u201373.","journal-title":"Environ. Model. Assess."},{"key":"2261_CR23","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.orl.2019.11.006","volume":"48","author":"Lei Wang","year":"2020","unstructured":"Lei Wang, Cui Liu, Hongwei Gao, and Chong Lin, Strongly strategic support\nof cooperative solutions for games over event trees, Oper. Res.\nLett., 2020, vol. 48, pp. 61\u201366.","journal-title":"Oper. Res. Lett."},{"key":"2261_CR24","doi-asserted-by":"crossref","unstructured":"MacKenzie, A.B. and DaSilva, L.A., Game\nTheory for Wireless Engineers, Morgan & Claypool, 2006.","DOI":"10.1007\/978-3-031-01672-1"},{"key":"2261_CR25","doi-asserted-by":"crossref","unstructured":"Meng, T., Schiff, N.R., Godfrey, P.B., and Schapira, M., PCC Proteus:\nscavenger transport and beyond, Annu. Conf. ACM Spec. Interest\nGroup Data Commun. Appl. Technol. Archit. Protoc. Comput. Commun.\n(SIGCOMM\u201920) (Virtual Event, USA, August 10-14, 2020), New York: ACM, 2020,\npp. 615\u2013631.","DOI":"10.1145\/3387514.3405891"},{"key":"2261_CR26","doi-asserted-by":"publisher","DOI":"10.1515\/9783110218190","volume-title":"Operators and Iterative Processes of Fej\u00e9r Type. Theory and Applications","author":"V.V. Vasin","year":"2009","unstructured":"Vasin, V.V. and Eremin, I.I., Operators and\nIterative Processes of Fej\u00e9r Type. Theory and Applications, Berlin\u2013New\nYork: Walter de Gruyter, 2009."}],"container-title":["Automation and Remote Control"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117922030122.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1134\/S0005117922030122","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1134\/S0005117922030122.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:33:07Z","timestamp":1773613987000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1134\/S0005117922030122"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,3]]},"references-count":26,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,3]]}},"alternative-id":["2261"],"URL":"https:\/\/doi.org\/10.1134\/s0005117922030122","relation":{},"ISSN":["0005-1179","1608-3032"],"issn-type":[{"value":"0005-1179","type":"print"},{"value":"1608-3032","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,3]]},"assertion":[{"value":"7 December 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 April 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 April 2022","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}