| Title:
|
Das Eigenwerttheorem von Krasnoselski für $k$-kondensierende Abbildungen (German) |
| Title:
|
The eigenvalue theorem of Krasnoselski for $k$-set contraction mappings (English) |
| Author:
|
Jerofsky, Thomas |
| Language:
|
German |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
22 |
| Issue:
|
2 |
| Year:
|
1981 |
| Pages:
|
413-427 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| MSC:
|
47J10 |
| idZBL:
|
Zbl 0496.47048 |
| idMR:
|
MR620375 |
| . |
| Date available:
|
2008-06-05T21:08:37Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106086 |
| . |
| Reference:
|
[1] G. D. BIRKHOFF O. D. KELLOGG: Invariant points in function spaces.Trans. Amer. Math. Soc. 23 (1922), 95-115. MR 1501192 |
| Reference:
|
[2] S. J. DAHER: Fixed point theorems for nonlinear operators with a sequential condition.Nonlin. Analysis, Theory Methods and Appl. 3 (1979), No 1, 59-63. Zbl 0424.47036, MR 0520472 |
| Reference:
|
[3] J. DANEŠ: On densifying and related mappings and their applications in nonlinear functional analysis.Proc. of a Summer school 1972 Neuendorf, GDR, Berlin 1974. MR 0361946 |
| Reference:
|
[4] P. M. FITZPATRICK W. V. PETRYSHY: Positive eigenvalues for nonlinear multivalued noncompact operators with applications to differential operators.Journ. Diff. Equ., New York - London 22 (1976), 428-441. MR 0435958 |
| Reference:
|
[5] S. HAHN: Eigenwertaussagen für kompakte und kondensierende mengenwertige Abbildungen in topologischen Vektorräumen.Comment. Math. Univ. Carolinae 20 (1979). Zbl 0442.47038, MR 0526153 |
| Reference:
|
[6] T. JEROFSKY: Übeг Existenzaussagen für kondensierende Abbildungen.Wiss. Z. Techn. Univ. Dresden 28 (1979) H 5, 1183-1187. MR 0567631 |
| Reference:
|
[7] V. KLEE: Schrinkable neighborhoods in Hausdorff linear spaces.Math. Ann. 141 (1960), 281-285. MR 0131149 |
| Reference:
|
[8] M. A. KRASNOSELSKI: Polozitelnye resenia operatornych uravnenii.Moskau, Fizmatgiz 1962. |
| Reference:
|
[9] K. KURATOWSKI: Sur les espaces complets.Fund. Math. 15 (1930), 301-309. |
| Reference:
|
[10] M. LANDSBERG T. RIEDRICH: Über positive Eigenwerte kompakter Abbildungen in topologischen Vektorräumen.Math. Ann. 163 (1966), 50-61. MR 0196546 |
| Reference:
|
[11] M. MARTELLI: A Rothe's type theorem for noncompact acyclic-valued maps.Proc. of the conference on problems in nonlin. funct. anal. Universität Bonn, July 22-26, 1975. Ber. Ges. f. Math. u. Datenverarb. Bonn No 103 (1975). Zbl 0333.47025 |
| Reference:
|
[12] I. MASSABO C. A. STUART: Positive eigenvectors of $k$-set contractions.Nonlin. Analysis, Theory, Methods and Appl. 3 (1979), No 1, 35-44. MR 0520468 |
| Reference:
|
[13] R. D. NUSSBAUM: Asymptotic fixed point theorems for local condensing maps.Math. Ann. 191 (1971), 181-195. MR 0298502 |
| Reference:
|
[14] S. REICH: Characteristic vectors of nonlinear operators.Rend. Accad. Naz. Lincei 50 (1971), 682-685. Zbl 0231.47042, MR 0306987 |
| Reference:
|
[15] J. REINERMANN: Problems.Mathematica Balcanica 4. 96 (1974), 516. |
| . |
