| Title:
|
Fixed point theorems for generalized contractions (English) |
| Author:
|
Reinermann, Jochen |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
13 |
| Issue:
|
4 |
| Year:
|
1972 |
| Pages:
|
617-627 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0256.47039 |
| idMR:
|
MR0336470 |
| . |
| Date available:
|
2008-06-05T20:39:52Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105446 |
| . |
| Reference:
|
[1] S. FUČÍK: Fixed point theorems for sum of nonlinear mappings.Comment. Math. Univ. Carolinae 9 (1968), 133-143. MR 0233245 |
| Reference:
|
[2] F. E. BROWDER: Semicontractive and semiaccretive nonlinear mappings in Banach spaces.Bull. Amer. Math. Soc. 74 (1968), 660-665. Zbl 0164.44801, MR 0230179 |
| Reference:
|
[3] W. A. KIRK: On nonlinear mappings of strongly semicontractive type.J. Math. Anal. Appl. 27 (1969), 409-412. Zbl 0183.15103, MR 0244814 |
| Reference:
|
[4] W. A. KIRK: Mappings of generalized type.J. Math. Anal. Appl. 32 (1970), 567-572. MR 0271794 |
| Reference:
|
[5] M. A. KRASNOSELSKI: Two remarks on the method of successive approximations.Uspehi Mat. Nauk 10, No 1 (63) (1955), 123-127. MR 0068119 |
| Reference:
|
[6] W. V. PETRYSHYN: Structure of the fixed point sets of k-set-contractions.Arch. Rat. Mech. Anal. 40 (1971), 312-328. MR 0273480 |
| Reference:
|
[7] W. V. PETRYSHYN: A new fixed point theorem and its application.Bull. Amer. Math. Soc. 78 (1972), 225-229. Zbl 0231.47030, MR 0291920 |
| Reference:
|
[8] J. REINERMANN: Fixpunktsätze vom Krasnoselski-Typ.Math. Z. 119 (1971), 339-344. Zbl 0204.45802, MR 0278142 |
| Reference:
|
[9] J. REINERMANN: Über Fixpunkte kontrahierender Abbildungen in uniformen Räumen und deren Darstellung durch konvergente Iterationsverfahren.Ber. d. Ges. f. Math. u. Datenverarb. Bonn, Nr 4, 1968. Zbl 0183.15101, MR 0247543 |
| Reference:
|
[10] A. E. TAYLOR: Introduction to Functional Analysis.John Wiley & Sons, Inc., London - Sydney, sixth printing 1967. MR 0098966 |
| . |
