| Title:
|
On the structure of fixed point sets of pseudo-contractive mappings (English) |
| Author:
|
Schöneberg, Rainald |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
17 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
771-777 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0344.47024 |
| idMR:
|
MR0430881 |
| . |
| Date available:
|
2008-06-05T20:53:00Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105736 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/105774 |
| . |
| Reference:
|
[1] L. M. BLUMENTHAL: Theory and applications of distance geometry.Oxford, Clarendon Press, 1953. Zbl 0050.38502, MR 0054981 |
| Reference:
|
[2] F. E. BROWDER: Nonlinear mappings of nonexpansive and accretive type in Banach-spaces.Bull. Amer, Math. Soc. 73 (1967), 875-881. Zbl 0176.45302, MR 0232255 |
| Reference:
|
[3] J. CARISTI: Fixed point theorems for mappings satisfying inwardness conditions.Trans. Amer. Math. Soc. (to appear). Zbl 0305.47029, MR 0394329 |
| Reference:
|
[4] W. A. KIRK: Remarks on pseudo-contractive mappings.Proc. Amer. Math. Soc. 25 (1970), 820-823. Zbl 0203.14603, MR 0264481 |
| Reference:
|
[5] 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:
|
[6] R. D. NUSSBAUM: The fixed point index and fixed point theorems for $k$-set-contractions.Ph.D. Thesis, Univ. of Chicago, 1968. |
| Reference:
|
[7] S. REICH: Remarks on fixed points.Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 52 (1972), 690-697. Zbl 0256.47043, MR 0331139 |
| Reference:
|
[8] S. REICH: Fixed points of condensing functions.J. Math. Anal. Appl. 41 (1973), 460-467. Zbl 0252.47062, MR 0322609 |
| Reference:
|
[9] J. REINERMANN: Über das Verfahren der sukzessiven Näherung in der Fixpunkttheorie kortrahierender Abbildungen.Habilitationsschrift, Aachen, 1970. |
| Reference:
|
[10] J. REINERMANN R. SCHÖNEBERG: Some results and problems in the fixed point theory for nonexpansive and pseudo-contractive mappings in Hilbert-space.Proceedings on a Seminar "Fixed point theery and its applications", Dalhousie University, Halifax N.S., Canada, June 9-12, 1975, Academic Press (to appear). MR 0451052 |
| Reference:
|
[11] H. SCHÖNEBERG: A note on connection properties of fixed point sets of nonexpansive mappings.Math. Nachr. (to appear). MR 0506861 |
| Reference:
|
[12] G. VIDOSSICH: Nonexistence of periodic solutions of differential equations and applications to zeros of nonlinear operators.(to appear). |
| . |
