Title:
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Some fixed point theorems for mappings satisfying Frum-Ketkov conditions (English) |
Author:
|
Schöneberg, Rainald |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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17 |
Issue:
|
2 |
Year:
|
1976 |
Pages:
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399-411 |
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Category:
|
math |
. |
MSC:
|
47H10 |
MSC:
|
47H99 |
idZBL:
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Zbl 0336.47031 |
idMR:
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MR0410488 |
. |
Date available:
|
2008-06-05T20:51:33Z |
Last updated:
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2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105704 |
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Related article:
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http://dml.cz/handle/10338.dmlcz/105741 |
. |
Reference:
|
[1] F. E. BROWDER: Fixed point theorems on infinite-dimensional manifolds.Proc. Amer. Math. Soc. 90 (1965), 179-194. Zbl 0132.18803, MR 0195082 |
Reference:
|
[2] F. E. BROWDER F. G. DE FIGUEIREDO: $J$-monotone nonlinear operators in Banach spaces.Proc. Konin. Nederl. Akad. Wet. 28 (1966), 412-420. MR 0205122 |
Reference:
|
[3] R. L. FRUM-KETKOV: On mappings of the sphere of a Banach space.Soviet Math. Dokl. 8 (1967), 1004-1006. |
Reference:
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[4] W. A. KIRK: Mappings of generalized contractive type.J. Math. Anal. Appl. 32 (1970), 567-572. Zbl 0213.14901, MR 0271794 |
Reference:
|
[5] M. A. KRASNOSELSKII: On several new fixed point principles.Soviet Math. Dokl. 14 (1973), 259-261. MR 0320838 |
Reference:
|
[6] M. A. KRASNOSELSKII P. P. ZABREIKO: A method for producing new fixed point theorems.Soviet Math. Dokl. 8 (1968), 1297-1299. |
Reference:
|
[7] R. D. NUSSBAUM: Some asymptotic fixed point theorems.Trans. Amer. Math. Soc. 171 (1972), 349-375. Zbl 0256.47040, MR 0310719 |
Reference:
|
[8] R. D. NUSSBAUM: Asymptotic fixed point theorems for local condensing maps.Math. Ann. 191 (1971), 181-195. MR 0298502 |
Reference:
|
[9] J. REINERMANN: Fortsetzung stetiger Abbildungen in Banach-Räumen und Anwendungen in der Fixpunkttheorie.Berichte der Ges. f. Math, und Datenverarbeitung Bonn Nr. 57 (1972), 135-145. MR 0448175 |
Reference:
|
[10] J. REINERMANN R. SCHONEBERG: Some results and problems in the fixed point theory for nonexpansive and pseudocontractive mappings in Hilbert-space.Proceedings on a seminar "Fixed Point Theory and its Applications", Dalhousie University, Halifax, N.S., Canada, June 9-12, 1975 (to appear). MR 0451052 |
Reference:
|
[11] R. SCHONEBERG: Eine Abbildungsgradtheorie für $A$-Operatoren mit Anwendungen.Diplomarbeit an der Techn. Hochschule Aachen 1975 (unpublished). |
Reference:
|
[12] F. A. VALENTINE: A Lipschitz condition preserving extension for a vector function.Amer. J. Math. 67 (1945), 83-93. Zbl 0061.37507, MR 0011702 |
Reference:
|
[13] M. FURI M. MARTELLI: On the minimal displacement under acyclic-valved maps defined on a class of ANR's.Sonderforschungsbereich 72 an der Uhiversität Bonn, preprint No. 39 (1974). |
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