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Fixed point theorems for set-valued maps in infinite dimensional spaces. (English) Zbl 0191.14701


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[1] Bourbaki, N.: Élém. de mathém: Espaces vectoriels topologiques, Chap. I, II. Act Sci. et ind.189 (Paris 1953).
[2] Browder, F.: A new generalization of the Schauder fixed point theorem, Math. Annalen174, 285-290 (1967). · Zbl 0176.45203 · doi:10.1007/BF01364275
[3] Browder, F.: The fixed point theory of multi-valued mappings in topological vector spaces (to appear). · Zbl 0176.45204
[4] Eilenberg, S., Montgomery, D.: Fixed point theorems for multi-valued transformations, Amer. J. Math.68, 214-222 (1946). · Zbl 0060.40203 · doi:10.2307/2371832
[5] Halpern, B., Bergman, G.: A fixed-point theorem for inward and outward maps, Trans. Amer. Math. Soc.130, No. 2, 353-358 (1968). · Zbl 0153.45602 · doi:10.1090/S0002-9947-1968-0221345-0
[6] Halpern, B.: A general fixed-point theorem, Proceedings of the Amer. Math. Soc. Symposium on non-linear functional analysis, Chicago 1968. · Zbl 0153.45602
[7] Halpern,B.: Fixed-point theorems for outward maps, Doctoral Thesis, U.C.L.A. (1965).
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