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

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Part of the Lecture Notes in Mathematics book series (LNM,volume 171)

Keywords

  • Fixed Point Theorem
  • Topological Vector Space
  • Nash Equilibrium Point
  • Hausdorff Topological Vector Space
  • Hausdorff Topological Space

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References

  1. F. E. Browder, A new generalization of the Schauder fixed point theorem, Math. Annalen 174 (1967), 285–290.

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  2. F. E. Browder, The fixed point theory of multi-valued mappings in topological vector spaces, Math. Annalen 177 (1968), 283–301.

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  3. K. Fan, Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S. 38 (1952), 121–126.

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  4. K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Annalen 142 (1961), 305–310.

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  8. I. S. Iohvidov, On a lemma of Ky Fan generalizing the fixed-point principle of A. N. Tihonov (in Russian), Dokl. Akad. Nauk SSSR 159 (1964), 501–504; English translation: Soviet Math. 5 (1964), 1523–1526.

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  9. S. Kakutani, A generalization of Brouwer's fixed-point theorem, Duke Math. J. 8 (1941), 457–459.

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  10. B. Knaster, C. Kuratowski and S. Mazurkiewicz, Ein Beweis des Fixpunkt-satzes für n-dimensionale Simplexe, Fund. Math. 14 (1929), 132–137.

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  12. G. Wittstock, Über invariante Teilräume zu positiven Transformationen in Räumen mit indefiniter Metrik, Math. Annalen 172 (1967), 167–175.

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© 1970 Springer-Verleg

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Fan, K. (1970). Extensions of two fixed point theorems of F. E. Browder. In: Fleischman, W.M. (eds) Set-Valued Mappings, Selections and Topological Properties of 2x . Lecture Notes in Mathematics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069713

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  • DOI: https://doi.org/10.1007/BFb0069713

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05293-7

  • Online ISBN: 978-3-540-36419-1

  • eBook Packages: Springer Book Archive