| Title:
|
Fixed point theory for closed multifunctions (English) |
| Author:
|
O'Regan, Donal |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
191-197 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions. (English) |
| Keyword:
|
Fixed points |
| Keyword:
|
multivalued maps |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0914.47054 |
| idMR:
|
MR1629701 |
| . |
| Date available:
|
2009-02-17T10:11:08Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107644 |
| . |
| Reference:
|
[1] Aliprantis C. D., Border K. C.: Infinite dimensional analysis.Springer Verlag, Berlin, 1994 Zbl 0839.46001, MR 1321140 |
| Reference:
|
[2] Ben-El-Mechaiekh H., Deguire P.: Approachability and fixed points for non-convex set valued maps.Jour. Math. Anal. Appl., 170 (1992), 477–500 Zbl 0762.54033, MR 1188567 |
| Reference:
|
[3] Ben-El-Mechaiekh H., Idzik A.: A Leray-Schauder type theorem for approximable maps.Proc. Amer. Math. Soc., 122 (1994), 105–109 Zbl 0814.47063, MR 1212281 |
| Reference:
|
[4] Deimling K.: Multivalued differential equations.Walter de Gruyter, Berlin, 1992 Zbl 0820.34009, MR 1189795 |
| Reference:
|
[5] Fitzpatrick P. M., Petryshyn W. V.: Fixed point theorems for multivalued noncompact acyclic mappings.Pacific Jour. Math., 54 (1974), 17–23 Zbl 0312.47047, MR 0405179 |
| Reference:
|
[6] Furi M., Pera P.: A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals.Ann. Polon. Math., 47 (1987), 331–346. Zbl 0656.47052, MR 0927581 |
| Reference:
|
[7] O’Regan D.: Some fixed point theorems for concentrative mappings between locally convex spaces.Nonlinear Analysis, 27 (1996), 1437–1446. MR 1408881 |
| Reference:
|
[8] O’Regan D.: Fixed points and random fixed points for weakly inward approximable maps.Proc. Amer. Math. Soc., (to appear) Zbl 0918.47049, MR 1469430 |
| Reference:
|
[9] O’Regan D.: Multivalued integral equations in finite and infinite dimensions.Comm. in Applied Analysis, (to appear) Zbl 0903.45005, MR 1636992 |
| Reference:
|
[10] O’Regan D.: Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces.Proc. Amer. Math. Soc., (to appear) Zbl 0936.47035, MR 1610765 |
| Reference:
|
[11] O’Regan D.: A general coincidence theory for set valued maps.(submitted) Zbl 0938.47036 |
| Reference:
|
[12] Zeidler E.: Nonlinear functional analysis and its applications, Vol 1.Springer Verlag, New York, 1986 MR 0816732 |
| . |
