Skip to main content
Log in

Minimax theorems for interval spaces

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. H. Brézis, L. Nirenberg and G. Stampacchia, A remark on Ky Fan's minimax principle,Boll. U.M.I.,6 (1972), 293–300.

    Google Scholar 

  2. B. C. Cuóng, Some remarks on minimax theorems,Acta Math. Vietnam.,1 (1976), 67–74.

    Google Scholar 

  3. K. Fan, Minimax theorems,Proc. Nat. Acad. Sci.,39 (1953), 42–47.

    Google Scholar 

  4. M. A. Geraghty and B.-L. Lin, Topological minimax theorems,Proc. Amer. Math. Soc.,91 (1984), 377–380.

    Google Scholar 

  5. I. Joó, A simple proof for von Neumann's minimax theorem,Acta Sci. Math.,42 (1980), 91–94.

    Google Scholar 

  6. I. Joó, Note on my paper “A simple proof for von Neumann's minimax theorem”,Acta Math. Hung.,44 (1984), 363–365.

    Google Scholar 

  7. I. Joó and L. L. Stachó, A note on Ky Fan's minimax theorem,Acta Math. Acad. Sci. Hungar.,39 (1982), 401–407.

    Article  Google Scholar 

  8. J. Kindler, Über Spiele auf konvexen Mengen,OR-Verfahren,26 (1977), 695–704.

    Google Scholar 

  9. J. Kindler, Schwach definite Spiele,Math. Operationsforsch. Statist., Ser. Optimization,8 (1977), 199–205.

    Google Scholar 

  10. V. Komornik, Minimax theorems for upper semicontinuous functions,Acta Math. Acad. Sci. Hungar., 40 (1982), 159–163.

    Article  Google Scholar 

  11. J. v. Neumann, Zur Theorie der Gesellschaftsspiele,Math. Ann.,100 (1928), 295–320.

    Article  Google Scholar 

  12. M. Sion, On general minimax theorems,Pac. J. Math.,8 (1958), 171–176.

    Google Scholar 

  13. L. L. Stachó, Minimax theorems beyond topological vector spaces,Acta Sci. Math.,42 (1980), 157–164.

    Google Scholar 

  14. A. Stefânescu, A general min-max theorem,Optimization,16 (1985), 497–504.

    Google Scholar 

  15. F. Terkelsen, Some minimax theorems,Math. Scand.,31 (1972), 405–413.

    Google Scholar 

  16. R. Trost,Minimaxtheoreme und Intervallräume, Master Thesis, TH Darmstadt, 1984.

  17. H. Tuy, On a general minimax theorem.Soviet Math. Dokl.,15 (1974), 1689–1693.

    Google Scholar 

  18. H. Tuy, On the general minimax theorem,Colloqu. Math.,33 (1975), 145–158.

    Google Scholar 

  19. A. Wald, Generalization of a theorem by v. Neumann concerning zero sum two person games,Ann. Math.,46 (1945), 281–286.

    Google Scholar 

  20. A. Wald,Statistical decision functions, Second ed. Chelsea (New York, 1971).

    Google Scholar 

  21. S. Willard,General topology, Addison-Wesley (Reading, Mass.—London, 1970).

    Google Scholar 

  22. Wu Wen-Tsün, A remark on the fundamental theorem in the theory of games,Sci. Rec., New Ser.,3 (1959), 229–233.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kindler, J., Trost, R. Minimax theorems for interval spaces. Acta Math Hung 54, 39–49 (1989). https://doi.org/10.1007/BF01950707

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01950707

Keywords

Navigation