A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping

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1. Aronszajin N., 10.2307/1968963, Annals of Mathematics, 43, 1942, 730-738. (1942) MR0007195DOI10.2307/1968963
2. Belohorec S., Generalization of a certain theorem of N. Aronszajn and its application in the theory of functional differential equations, (in Slovak). Manuscript. 
3. Deimling K., Nichtlineare Gleichungen und Abbildungsgrade, Berlin, Springer-Verlag 1974. (1974) Zbl0281.47033MR0500322
4. Dubois J., Morales P., On the Hukuhara-Kneser property for some Cauchy problems in locally convex topological vector spaces, In: Ordinary and Partial Differential Equations, Proceedings, Dundee, Scotland 1982. Berlin, Springer-Verlag 1982, p. 162-170. (1982) Zbl0509.34062MR0693110
5. Szufla S., Sets of fixed points of nonlinear mappings in function spaces, Funkcialaj Ekvacioj, 22, 1979, 121-126. (1979) Zbl0419.47025MR0551256
6. Vidossich G., 10.1016/0022-247X(71)90100-4, Journal of Mathematical Analysis and Applications, 34, 1971, 602-617. (1971) MR0283645DOI10.1016/0022-247X(71)90100-4

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