Mathematische Zeitschrift

, Volume 112, Issue 3, pp 234–240 | Cite as

Extensions of two fixed point theorems of F. E. Browder

Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Browder, F. E.: Remarks on nonlinear functional equations. Proc. Nat. Acad. Sci. U.S.A.51, 985–989 (1964).Google Scholar
  2. 2.
    —: A new generalization of the Schauder fixed point theorem. Math. Ann.174, 285–290 (1967).Google Scholar
  3. 3.
    —: The fixed point theory of multi-valued mappings in topological vector spaces. Math. Ann.177, 283–301 (1968).Google Scholar
  4. 4.
    Fan, K.: Fized-point and minimax theorems in locally convex topological linear spaces. Proc. Nat. Acad. Sci. U.S.A.38, 121–126 (1952).Google Scholar
  5. 5.
    —: A generalization of Tychonoff's fixed point theorem. Math. Ann.142, 305–310 (1961).Google Scholar
  6. 6.
    —: Invariant subspaces of certain linear operators. Bull. Amer. Math. Soc.69, 773–777 (1963).Google Scholar
  7. 7.
    —: Invariant cross-sections and invariant linear subspaces. Israel J. Math.2, 19–26 (1964).Google Scholar
  8. 8.
    Iohvidov, I. S.: On a lemma of Ky Fan generalizing the fixed-point principle of A.N. Tihonov [in Russian]. Doklady Akad. Nauk SSSR159, 501–504 (1964); English translation: Soviet Math.5, 1523–1526 (1964).Google Scholar
  9. 9.
    Wittstock, G.: Über invariante Teilräume zu positiven Transformationen in Räumen mit indefiniter Metrik. Math. Ann.172, 167–175 (1967).Google Scholar

Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Ky Fan
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaSanta BarbaraUSA

Personalised recommendations