| Title: | 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: | 1213-7243 (online) | 
| Volume: | 17 | 
| Issue: | 2 | 
| Year: | 1976 | 
| Pages: | 399-411 | 
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| Category: | math | 
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| MSC: | 47H10 | 
| MSC: | 47H99 | 
| idZBL: | Zbl 0336.47031 | 
| idMR: | MR0410488 | 
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| Date available: | 2008-06-05T20:51:33Z | 
| Last updated: | 2012-04-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/105704 | 
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| Related article: | http://dml.cz/handle/10338.dmlcz/105741 | 
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| 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: | [4] W. A. KIRK: Mappings of generalized contractive type.J. Math. Anal. Appl. 32 (1970), 567-572. Zbl 0213.14901, MR 0271794 | 
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| 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 Hochschule Aachen 1975 (unpublished).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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