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Title: A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping (English)
Author: Kubáček, Zbyněk
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 37
Issue: 3
Year: 1987
Pages: 415-423
Category: math
MSC: 47H10
MSC: 54H25
idZBL: Zbl 0638.54037
idMR: MR904769
DOI: 10.21136/CMJ.1987.102169
Date available: 2008-06-09T15:16:49Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] Aronszajin N.: Le correspondant topologique de l'unicité dans la théorie des équations différent ici les.Annals of Mathematics, 43, 1942, 730-738. MR 0007195, 10.2307/1968963
Reference: [2] Belohorec S.: Generalization of a certain theorem of N. Aronszajn and its application in the theory of functional differential equations.(in Slovak). Manuscript.
Reference: [3] Deimling K.: Nichtlineare Gleichungen und Abbildungsgrade.Berlin, Springer-Verlag 1974. Zbl 0281.47033, MR 0500322
Reference: [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. Zbl 0509.34062, MR 0693110
Reference: [5] Szufla S.: Sets of fixed points of nonlinear mappings in function spaces.Funkcialaj Ekvacioj, 22, 1979, 121-126. Zbl 0419.47025, MR 0551256
Reference: [6] Vidossich G.: On the structure of the set of solutions of nonlinear equations.Journal of Mathematical Analysis and Applications, 34, 1971, 602-617. MR 0283645, 10.1016/0022-247X(71)90100-4


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