| Title:
|
Fixed point theorems of Rothe-type for Frum-Ketkov- and 1-set-contractions (English) |
| Author:
|
Buley, H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
2 |
| Year:
|
1978 |
| Pages:
|
213-225 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H10 |
| MSC:
|
55M15 |
| idZBL:
|
Zbl 0371.47040 |
| idMR:
|
MR0487611 |
| . |
| Date available:
|
2008-06-05T20:57:56Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105848 |
| . |
| Reference:
|
[1] F. E. BROWDER: Nonlinear operators and nonlinear equations of evolution.Proc. Sympos. Pure Math., vol. 18, part 2, Amer. Math. Soc. Providence, R.I., 1976. Zbl 0327.47022, MR 0405188 |
| Reference:
|
[2] R. L. FRUM-KETKOV: Mappings into a Banach space sphere.Dokl. Akad. Nauk SSSR 171 (1967), 1229-1231 - Soviet Math. Dokl. 8 (1967),1004-1006. Zbl 0186.46904, MR 0220114 |
| Reference:
|
[3] M. FURI M. MARTELLI: On the minimal displacement under acyclic-valued maps defined on a class of ANR's.Sonderforschungsbereich 72 an der Univ. Bonn, preprint No. 39 (1974). |
| Reference:
|
[4] D. GÖHDE: Zum Prinzip der kontraktiven Abbildungen.Math. Nachr. 30 (1965), 251-258. MR 0190718 |
| Reference:
|
[5] M. A. KRASNOSELSKII: On several new fixed point principles.Dokl. Akad. Nauk SSSR 208 (1973), Soviet Math. Dokl. 14 (1973), 259-261. MR 0320838 |
| Reference:
|
[6] R. D. NUSSBAUM: Asymptotic fixed point theorems for local condensing maps.Math. Ann. 191 (1971), 181-195. MR 0298502 |
| Reference:
|
[7] R. D. NUSSBAUM: A geometric approach to the fixed point index.Pacific J. Math. 39 (1971), 751-766. Zbl 0232.47061, MR 0306985 |
| Reference:
|
[8] R. D. NUSSBAUM: Some asymptotic fixed point theorems.Trans. Am. Math. Soc. 171 (1972), 349-374. Zbl 0256.47040, MR 0310719 |
| Reference:
|
[9] R. D. NUSSBAUM: Degree theory for local condensing maps.J. Math. Anal. Appl. 37 (1972), 741-766. Zbl 0232.47062, MR 0306986 |
| Reference:
|
[10] R. D. NUSSBAUM: The fixed point index for local condensing maps.Ann. Mat. Pura Appl. 89 (1971), 217-258. Zbl 0226.47031, MR 0312341 |
| Reference:
|
[11] J. REINERMANN R. SCHÖNEBERG: Some results and problems in the fixed point theory for nonexpansive and pseudocontractive mappings in Hilbert space.Proc. on a seminar "Fixed Point Theory and its Applications", Dalhousie Univ., Halifax, N.S., Canada, June 9 - 12, 1975, Academic Press, New York - San Francisco - London (1976). MR 0451052 |
| Reference:
|
[12] C. L. KRAUTHAUSEN G. MÜLLER J. REINERMANN R. SCHÖNEBEBG: New fixed point theorems for compact and nonexpansive mappings and applications to Hammerstein equations.Universität Bonn SFB 72 preprint No. 92 (1976). |
| Reference:
|
[13] R. SCHÖNEBERG: Some fixed point theorems for mappings satisfying Frum-Ketkov conditions.Comment. Math. Univ. Carolinae 17 (1976), 399-411. MR 0410488 |
| Reference:
|
[14] R. SCHÖNEBERG: Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und die Fixpunkttheorie nichtexpansiver Abbildungen.Dissertation, RWTH Aachen (1977). |
| . |
