Mathematische Annalen

, Volume 189, Issue 2, pp 87–98 | Cite as

Fixed point theorems for set-valued maps in infinite dimensional spaces

  • Benjamin Halpern
Article
Received:

Keywords

Dimensional Space Point Theorem Infinite Dimensional Space 
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References

  1. 1.
    Bourbaki, N.: Élém. de mathém: Espaces vectoriels topologiques, Chap. I, II. Act Sci. et ind.189 (Paris 1953).Google Scholar
  2. 2.
    Browder, F.: A new generalization of the Schauder fixed point theorem, Math. Annalen174, 285–290 (1967).Google Scholar
  3. 3.
    Browder, F.: The fixed point theory of multi-valued mappings in topological vector spaces (to appear).Google Scholar
  4. 4.
    Eilenberg, S., Montgomery, D.: Fixed point theorems for multi-valued transformations, Amer. J. Math.68, 214–222 (1946).Google Scholar
  5. 5.
    Halpern, B., Bergman, G.: A fixed-point theorem for inward and outward maps, Trans. Amer. Math. Soc.130, No. 2, 353–358 (1968).Google Scholar
  6. 6.
    Halpern, B.: A general fixed-point theorem, Proceedings of the Amer. Math. Soc. Symposium on non-linear functional analysis, Chicago 1968.Google Scholar
  7. 7.
    Halpern,B.: Fixed-point theorems for outward maps, Doctoral Thesis, U.C.L.A. (1965).Google Scholar

Copyright information

© Springer-Verlag 1970

Authors and Affiliations

  • Benjamin Halpern
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

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