Conjugate concave-convex functions in linear topological spaces and their saddle points
Sbornik. Mathematics, Tome 7 (1969) no. 4, pp. 503-531 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. T. Tynyanskii. Conjugate concave-convex functions in linear topological spaces and their saddle points. Sbornik. Mathematics, Tome 7 (1969) no. 4, pp. 503-531. http://geodesic.mathdoc.fr/item/SM_1969_7_4_a3/

[1] H. Burbaki, Topologicheskie vektornye prostranstva, IL, M., 1959

[2] A. Brondsted, “Conjugate convex functions in topological vector spaces”, Mat.-Fys. Medd. Dansk. Vid. Selsk., 34 (1964), 1–27 | MR

[3] H. H. Vorobev, “Konechnye beskoalitsionnye igry”, Uspekhi matem. nauk, XIV:4(88) (1959), 21–56 | MR

[4] U. Dieter, “Optimierungsaufgaben in topologischen Vektorräumen I: Dualitätstheorie”, Z. Wahrscheinlichkeitstheorie und Verw. Geb., 5:2 (1966), 89–117 | DOI | MR | Zbl

[5] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959 | MR

[6] S. Karlin, Matematicheskie metody v teorii igr, programmirovanii i ekonomike, IL, M., 1964

[7] V. N. Lebedev, N. T. Tynyanskii, “Teoriya dvoistvennosti vognuto-vypuklykh igr”, DAN SSSR, 174:6 (1967), 1264–1267 | Zbl

[8] Dzh. Mak-Kinsi, Vvedenie v teoriyu igr, Fizmatgiz, M., 1960

[9] Moreau, “Theorems “inf sup””, C.R. Acad. Sci., 258 (1964), 2720–2722, Paris | MR | Zbl

[10] L. A. Raikov, Vektornye prostranstva, Fizmatgiz, M., 1962 | MR

[11] R. T. Rockafellar, “Minimax theorems and conjugate saddle-functions”, Math. Scand., 14 (1964), 151–173 | MR | Zbl

[12] J. Stoer, “Über einen Dualitätssatz der nichtlinearen Programmierung”, Numer. Math., 6 (1964), 55–58 | DOI | MR | Zbl

[13] W. Fenchel, “On conjugate convex functions”, Canad. J. Math., 1 (1949), 73–77 | MR | Zbl

[14] W. Fenchel, Convex cones sets and functions, Lecture Notes, Dept. of Math., Princeton University, 1953 | Zbl

[15] E. Eidelheit, “Zur Theorie der konvexen Mengen in linearen normierten Räumen”, Studia Math., 6 (1936), 104–112

[16] Errou, Gurvits, Udzava, Issledovaniya po lineinomu i nelineinomu programmirovaniyu, IL, M., 1962