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Approximation of set valued functions and fixed point theorems. (English) Zbl 0187.07701


MSC:

54C60 Set-valued maps in general topology
54H25 Fixed-point and coincidence theorems (topological aspects)
Full Text: DOI

References:

[1] Berge, C., Espaces topologiques, fonctions multivoques (1966), Paris: Dunod, Paris · Zbl 0164.52902
[2] Filippov, A. F., On certain questions in the theory of optimal control, SIAM J. Control, 1, 54-59 (1962) · Zbl 0139.05102 · doi:10.1137/0301006
[3] Katutani, S., A generalization of Brouwer’s fixed point Theorem, Duke Mat. J., 8, 457-459 (1961) · Zbl 0061.40304 · doi:10.1215/S0012-7094-41-00838-4
[4] Michael, E., Continuous selections, Ann. Math., 63, 361-382 (1956) · Zbl 0071.15902 · doi:10.2307/1969615
[5] J. von Neumann,On rings of operators. Reduction theory., Ann. Math., 50 (1949). · Zbl 0034.06102
[6] Olech, C., A note concerning set-valued measurable functions, Bull Acad. Pol. Sci., série sci. Math., Astr., Phys., 13, 317-321 (1964) · Zbl 0145.28302
[7] Wazewski, T., Sur une condition d’existence des fonctions implicites mesurables, Bull. Acad. Pol. Sci, série sci. Math, Astr., Phys., 9, 861-863 (1961) · Zbl 0101.04302
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