Keywords
- Fixed Point Theorem
- Topological Vector Space
- Nash Equilibrium Point
- Hausdorff Topological Vector Space
- Hausdorff Topological Space
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References
F. E. Browder, A new generalization of the Schauder fixed point theorem, Math. Annalen 174 (1967), 285–290.
F. E. Browder, The fixed point theory of multi-valued mappings in topological vector spaces, Math. Annalen 177 (1968), 283–301.
K. Fan, Fixed-point and minimax theorems in locally convex topological linear spaces, Proc. Nat. Acad. Sci. U.S. 38 (1952), 121–126.
K. Fan, A generalization of Tychonoff's fixed point theorem, Math. Annalen 142 (1961), 305–310.
K. Fan, Invariant subspaces of certain linear operators, Bull. Amer. Math. Soc. 69 (1963), 773–777.
K. Fan, Extensions of two fixed point theorems of F. E. Browder, Math. Z. 112 (1969), 234–240.
I. L. Glicksberg, A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points, Proc. Amer. Math. Soc. 3 (1952), 170–174.
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.
S. Kakutani, A generalization of Brouwer's fixed-point theorem, Duke Math. J. 8 (1941), 457–459.
B. Knaster, C. Kuratowski and S. Mazurkiewicz, Ein Beweis des Fixpunkt-satzes für n-dimensionale Simplexe, Fund. Math. 14 (1929), 132–137.
A. Tychonoff, Ein Fixpunktsatz, Math. Annalen 111 (1935), 767–776.
G. Wittstock, Über invariante Teilräume zu positiven Transformationen in Räumen mit indefiniter Metrik, Math. Annalen 172 (1967), 167–175.
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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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