Extensions of two fixed point theorems of F. E. Browder. (English) Zbl 0185.39503


47H10 Fixed-point theorems
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[1] Browder, F. E.: Remarks on nonlinear functional equations. Proc. Nat. Acad. Sci. U.S.A.51, 985-989 (1964). · Zbl 0126.12301
[2] ?: A new generalization of the Schauder fixed point theorem. Math. Ann.174, 285-290 (1967). · Zbl 0176.45203
[3] ?: The fixed point theory of multi-valued mappings in topological vector spaces. Math. Ann.177, 283-301 (1968). · Zbl 0176.45204
[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). · Zbl 0047.35103
[5] ?: A generalization of Tychonoff’s fixed point theorem. Math. Ann.142, 305-310 (1961). · Zbl 0093.36701
[6] ?: Invariant subspaces of certain linear operators. Bull. Amer. Math. Soc.69, 773-777 (1963). · Zbl 0118.10803
[7] ?: Invariant cross-sections and invariant linear subspaces. Israel J. Math.2, 19-26 (1964). · Zbl 0131.33101
[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).
[9] Wittstock, G.: Über invariante Teilräume zu positiven Transformationen in Räumen mit indefiniter Metrik. Math. Ann.172, 167-175 (1967). · Zbl 0149.34903
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