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A generalization of Tychonoff’s fixed point theorem. (English) Zbl 0093.36701

Keywords:
topology
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[1] Begle, E. G.: A fixed point theorem. Ann. Math. (2)51, 544-550 (1950). · Zbl 0036.38901 · doi:10.2307/1969367
[2] Bourbaki, N.: Espaces vectoriels topologiques, Chap. I, II. (Actual. Sci. et Industr. 1189.) Paris 1953.
[3] Eilenberg, S., andD. Montgomery: Fixed point theorems for multi-valued transformations. Am. J. Math.68, 214-222 (1946). · Zbl 0060.40203 · doi:10.2307/2371832
[4] Fan, K.: Fixed-point and minimax theorems in locally convex topological linear spaces. Proc. Nat. Acad. Sci. U. S.38, 121-126 (1952). · Zbl 0047.35103 · doi:10.1073/pnas.38.2.121
[5] Glicksberg, I. L.: A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Proc. Am. Math. Soc.3, 170-174 (1952). · Zbl 0046.12103
[6] Kakutani, S.: A generalization of Brouwer’s fixed-point theorem. Duke Math. J.8, 457-459 (1941). · Zbl 0061.40304 · doi:10.1215/S0012-7094-41-00838-4
[7] Knaster, B., C. Kuratowski andS. Mazurkiewicz: Ein Beweis des Fixpunktsatzes fürn-dimensionale Simplexe. Fundamenta Math.14, 132-137 (1929). · JFM 55.0972.01
[8] Tychonoff, A.: Ein Fixpunktsatz. Math. Ann.111, 767-776 (1935). · Zbl 0012.30803 · doi:10.1007/BF01472256
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