| 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:
|
http://hdl.handle.net/10338.dmlcz/102169 |
| . |
| 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 |
| . |
