References
H. Brézis, L. Nirenberg and G. Stampacchia, A remark on Ky Fan's minimax principle,Boll. U.M.I.,6 (1972), 293–300.
B. C. Cuóng, Some remarks on minimax theorems,Acta Math. Vietnam.,1 (1976), 67–74.
K. Fan, Minimax theorems,Proc. Nat. Acad. Sci.,39 (1953), 42–47.
M. A. Geraghty and B.-L. Lin, Topological minimax theorems,Proc. Amer. Math. Soc.,91 (1984), 377–380.
I. Joó, A simple proof for von Neumann's minimax theorem,Acta Sci. Math.,42 (1980), 91–94.
I. Joó, Note on my paper “A simple proof for von Neumann's minimax theorem”,Acta Math. Hung.,44 (1984), 363–365.
I. Joó and L. L. Stachó, A note on Ky Fan's minimax theorem,Acta Math. Acad. Sci. Hungar.,39 (1982), 401–407.
J. Kindler, Über Spiele auf konvexen Mengen,OR-Verfahren,26 (1977), 695–704.
J. Kindler, Schwach definite Spiele,Math. Operationsforsch. Statist., Ser. Optimization,8 (1977), 199–205.
V. Komornik, Minimax theorems for upper semicontinuous functions,Acta Math. Acad. Sci. Hungar., 40 (1982), 159–163.
J. v. Neumann, Zur Theorie der Gesellschaftsspiele,Math. Ann.,100 (1928), 295–320.
M. Sion, On general minimax theorems,Pac. J. Math.,8 (1958), 171–176.
L. L. Stachó, Minimax theorems beyond topological vector spaces,Acta Sci. Math.,42 (1980), 157–164.
A. Stefânescu, A general min-max theorem,Optimization,16 (1985), 497–504.
F. Terkelsen, Some minimax theorems,Math. Scand.,31 (1972), 405–413.
R. Trost,Minimaxtheoreme und Intervallräume, Master Thesis, TH Darmstadt, 1984.
H. Tuy, On a general minimax theorem.Soviet Math. Dokl.,15 (1974), 1689–1693.
H. Tuy, On the general minimax theorem,Colloqu. Math.,33 (1975), 145–158.
A. Wald, Generalization of a theorem by v. Neumann concerning zero sum two person games,Ann. Math.,46 (1945), 281–286.
A. Wald,Statistical decision functions, Second ed. Chelsea (New York, 1971).
S. Willard,General topology, Addison-Wesley (Reading, Mass.—London, 1970).
Wu Wen-Tsün, A remark on the fundamental theorem in the theory of games,Sci. Rec., New Ser.,3 (1959), 229–233.
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Kindler, J., Trost, R. Minimax theorems for interval spaces. Acta Math Hung 54, 39–49 (1989). https://doi.org/10.1007/BF01950707
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DOI: https://doi.org/10.1007/BF01950707