| Title:
|
Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps (English) |
| Author:
|
Müller, G. |
| Author:
|
Reinermann, Jochen |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
18 |
| Issue:
|
2 |
| Year:
|
1977 |
| Pages:
|
281-298 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H05 |
| MSC:
|
47H10 |
| MSC:
|
55C20 |
| MSC:
|
55M20 |
| idZBL:
|
Zbl 0349.47047 |
| idMR:
|
MR0448173 |
| . |
| Date available:
|
2008-06-05T20:54:35Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105773 |
| . |
| Reference:
|
[1] N. A. ASSAD: A fixed point theorem ŕor weakly uniformly strict contгactions.Canad. Math. Bull. 16 (1973), 15-18. MR 0322840 |
| Reference:
|
[2] F. E. BROWDER: Fixed point theorems for nonlinear semicontractive mappings in Banach spaces.Arch. Rat. Mech. Anal. 21 (1966), 259-269. Zbl 0144.39101, MR 0200753 |
| Reference:
|
[3] M. G. CRANDALL A. PAZY: Semi-groups of nonlinear contractions and dissipative sets.Journ. Funct. Anal. 3 (1969), 376-418. MR 0243383 |
| Reference:
|
[4] K. DEIMLING: Zeros of accretive operators.Manuscripta Math. 13 (1974), 365-374. Zbl 0288.47047, MR 0350538 |
| Reference:
|
[5] D. GÖHDE: Nichtexpansive und pseudokontraktive Abbildungen sternförmiger Mengen im Hilbertraum.Beiträge zur Analysis 9 (1976), 23-25. MR 0636940 |
| Reference:
|
[6] J. P. GOSSEZ: A note on multivalued monotone operators.Mich. J. Math. 17 (1970), 347-350. Zbl 0204.45801, MR 0282266 |
| Reference:
|
[7] T. KATO: Nonlinear semigroups and evolution equations.J. Math. Soc. Japan 19 (1967), 508-520. Zbl 0163.38303, MR 0226230 |
| Reference:
|
[8] S. KINOSHITA: On some contгactible continua without fixed point pгoperty.Bull. Pol. Acad. Sci. 40 (1953), 96-98. MR 0060225 |
| Reference:
|
[9] W. A. KIRK R. SCHÖNEBERG: Some results on pseudo-contгactive mappings.Pacific J. Math. (to appeaг). |
| Reference:
|
[10] J. M. LYSKO: An example for a contractible continuum witnout fixed point property for homeomorphisms.Bull. Acad. Pol. Sci. 20 (1972), 663-666. MR 0319174 |
| Reference:
|
[11] R. H. MARTIN: Differential equations on closed subsets of a Banach space.Trans. Amer. Math. Soc. 179 (1973), 399-414. Zbl 0293.34092, MR 0318991 |
| Reference:
|
[12] G. MÜLLER: Topologisch-geometrische Eigenschaften und Fixpunkteigenschaften von sternförmigen Mengen in topologischen Vektorräumen.Diplomarbeit an der Technischen Hochschule Aachen (1976) (unpublished). |
| Reference:
|
[1З] J. REINERMANN: Fixed point theorems foг nonexpansive mappings on starshaped domains.Berichte der Gesellschaft für Math. und Datenveгarbeitung, Bonn, Nr. 103 (1975), 23-28. MR 0436104 |
| Reference:
|
[14] J. REINERMANN V. STALLBOHM: Fixed point theorems for compact and nonexpansive mappings on starshaped domains.Comment. Mәth. Univ. Carolinae 15 (1974), 775-779. MR 0370284 |
| Reference:
|
[15] J. REINERMANN V. STALLBOHM: Fixed point theorems for compact and nonexpansive mappings on starshaped domains.Math. Balkanica 4 (1974), 511-516. MR 0375014 |
| Reference:
|
[16] J. REINERMANN R. SCHÖNEBERG: Some results and problems in the fixed point theoгy for nonexpansive and pseudocontraetive mappings in Hilbeгt space.Pгoc. on a seminar "Fixed point theoгy and its applications", Dalhousie Univ. Halifax N.S., Canada, June 9-12 (1975), Academic Press (to appear). |
| Reference:
|
[17] E. H. ROTHE: Some гemarks on vector fields in Hilbert space.Proc. Symp. Puгe Math. 18 (1), Nonlinear Funct. Anal., 1970. MR 0380875 |
| Reference:
|
[18] R. SCHÖNEBERG: On the solvability of equations involving accretive and compact mappings.(to appear). |
| . |
