| Title:
|
Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication) (English) |
| Author:
|
Reinermann, Jochen |
| Author:
|
Stallbohm, Volker |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
15 |
| Issue:
|
4 |
| Year:
|
1974 |
| Pages:
|
775-779 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46A15 |
| MSC:
|
46A19 |
| MSC:
|
47H10 |
| MSC:
|
55C20 |
| MSC:
|
55C25 |
| MSC:
|
55M20 |
| MSC:
|
55M25 |
| idZBL:
|
Zbl 0295.47056 |
| idMR:
|
MR0370284 |
| . |
| Date available:
|
2008-06-05T20:46:43Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105597 |
| . |
| Reference:
|
[1] N. A. ASSAD: A fixed point theorem for weakly uniformly strict contractions.Canad. Math. Bull. 16 (1973), 15-18. Zbl 0252.47063, MR 0322840 |
| Reference:
|
[2] R. A. BING: The elusive fixed point property.Amer. Math. Monthly 25 (1969), 119-132. Zbl 0174.25902, MR 0236908 |
| Reference:
|
[3] F. E. BROWDER: Convergence of approximants to fixed points of nonexpansive mappings in Banach spaces.Arch. Rat. Mech. Anal. 25 (1967), 82-90. MR 0206765 |
| Reference:
|
[4] M. G. CRANDALL A. PAZY: Semi-groups of nonlinear contractions and dissipative sets.J. Functional Anal. 3 (1969), 1-34. MR 0243383 |
| Reference:
|
[5] M. EDELSTEIN: On fixed and periodic points under contractive mappings.J. Lond. Math. Soc. 37 (1962), 74-79. Zbl 0113.16503, MR 0133102 |
| Reference:
|
[6] D. GÖHDE: Zum Prinzip der konktraktiven Abbildung.Math. Nachr. 30 (1965), 251-258. MR 0190718 |
| Reference:
|
[7] V. KLEE: Leray-Schauder theory without local convexity.Math. Ann. 141 (1960), 286-296. Zbl 0096.08001, MR 0131150 |
| Reference:
|
[8] W. V. PETRYSHYN P. M. FITZPATRICK: Degrees theory for noncompact multivalued vector fields.Bull. Amer. Math. Soc. 79 (1973), 609-613. MR 0317117 |
| Reference:
|
[9] J. REINERMANN: Fixpunktsätze vom Krasnoselski-Typ.Math. Z. 119 (1971), 339-344. Zbl 0204.45802, MR 0278142 |
| Reference:
|
[10] B. N. SADOVSKY: On measure of noncompactness and condensing operators.Probl. Math. Anal. Slož. Sistem. 2 (1968), 89-119 (in Russian). MR 0301582 |
| Reference:
|
[11] B. N. SADOVSKY: Ultimately compact and condensing operators.Uspehi Mat. Nauk 27 (1972), 81-146 (in Russian). MR 0428132 |
| Reference:
|
[12] J. T. SCHWARTZ: Nonlinear Functional Analysis.Courant Institute, New York (1965). |
| Reference:
|
[13] K. SIEKLUCKI: On a class of plane acyclic continua with the fixed point property.Fund. Math. 63 (1968), 257-278. Zbl 0172.24803, MR 0240794 |
| . |
