| Title:
|
Pseudo-contractive mappings and the Leray-Schauder boundary condition (English) |
| Author:
|
Morales, Claudio H. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
4 |
| Year:
|
1979 |
| Pages:
|
745-756 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
47H15 |
| idZBL:
|
Zbl 0429.47021 |
| idMR:
|
MR555187 |
| . |
| Date available:
|
2008-06-05T21:03:12Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105965 |
| . |
| Reference:
|
[1] F. E. BROWDER: Nonlinear mappings of nonexpansive and accretive type in Banach space.Bull. Amer. Math. Soc. 73 (1967), 875-881. MR 0232255 |
| Reference:
|
[2] F. E. BROWDER: Semicontractive and semiaccretive nonlinear mappings in Banach spaces.Bull. Amer. Math. Soc. 74 (1968), 660-665. Zbl 0164.44801, MR 0230179 |
| Reference:
|
[3] K. DEIMLING: Zeros of accretive operators.Manuscripta Math. 13 (1974), 365-374. Zbl 0288.47047, MR 0350538 |
| Reference:
|
[4] J. A. GATICA W. A. KIRK: Fixed point theorems for contraction mappings with nonexpansive and pseudocontractive mappings.Rocky Mountain J. Math. 4 (1974), 69-79. MR 0331136 |
| Reference:
|
[5] T. KATO: Nonlinear semigroup and evolution equations.J. Math. Soc. Japan 19 (1967), 508-520. MR 0226230 |
| Reference:
|
[6] W. A. KIRK: Remarks on pseudo-contractive mappings.Proc. Amer. Math. Soc. 25 (1970), 820-823. Zbl 0203.14603, MR 0264481 |
| Reference:
|
[7] W. A. KIRK C. MORALES: Condensing mappings and the Leray-Schauder boundary condition.J. Nonlinear Analysis (to appear). MR 0537339 |
| Reference:
|
[8] W. A. KIRK R. SCHÖNEBERG: Some results on pseudo-contractive mappings.Pacific J. Math. 71 (1977), 98-100. MR 0487615 |
| Reference:
|
[9] R. H. MARTIN: Differential equations on closed subset of a Banach space.Trans. Amer. Math. Soc. 179 (1973), 399-414. MR 0318991 |
| Reference:
|
[10] G. MÜLLER J. REINERMANN: Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps.Comment. Math. Univ. Carolinae 18 (1977), 281-298. MR 0448173 |
| Reference:
|
[11] R. D. NUSSBAUM: The fixed point index and fixed point theorems for k-set-contractions.Ph.D. Thesis, University of Chicago, Chicago, III., 1969. |
| Reference:
|
[12] W. V. PETRYSHYN: Structure of the fixed point sets of $k$-set-contractions.Arch. Rat. Mech. Anal. 40 (1971), 312-328. MR 0273480 |
| Reference:
|
[13] W. V. PETRYSHYN: Fixed point theorems for various classes of $1$-set-contractive and $1$-ball-contractive mappings in Banach spaces.Trans. Amer. Math. Soc. 182 (1973), 323-352. Zbl 0277.47033, MR 0328688 |
| Reference:
|
[14] R. SCHÖNEBERG: Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und Fixpunkttheorie nichtexpansiver Abbildungen.Ph.D. Thesis, RWTH Aachen, 1977. |
| . |
