Geodesic
Fixed point theory for closed multifunctions
Archivum mathematicum, Tome 34 (1998) no. 1, pp. 191-197

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions.
In this paper some new fixed point theorems of Ky Fan, Leray-Schauder and Furi-Pera type are presented for closed multifunctions.
Classification : 47H04, 47H10
Keywords: Fixed points; multivalued maps 
O'Regan, Donal. Fixed point theory for closed multifunctions. Archivum mathematicum, Tome 34 (1998) no. 1, pp. 191-197. http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a17/
@article{ARM_1998_34_1_a17,
     author = {O'Regan, Donal},
     title = {Fixed point theory for closed multifunctions},
     journal = {Archivum mathematicum},
     pages = {191--197},
     year = {1998},
     volume = {34},
     number = {1},
     mrnumber = {1629701},
     zbl = {0914.47054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a17/}
}
TY  - JOUR
AU  - O'Regan, Donal
TI  - Fixed point theory for closed multifunctions
JO  - Archivum mathematicum
PY  - 1998
SP  - 191
EP  - 197
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a17/
LA  - en
ID  - ARM_1998_34_1_a17
ER  - 
%0 Journal Article
%A O'Regan, Donal
%T Fixed point theory for closed multifunctions
%J Archivum mathematicum
%D 1998
%P 191-197
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/ARM_1998_34_1_a17/
%G en
%F ARM_1998_34_1_a17

[1] Aliprantis C. D., Border K. C.: Infinite dimensional analysis. Springer Verlag, Berlin, 1994 | MR | Zbl

[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 | MR | Zbl

[3] Ben-El-Mechaiekh H., Idzik A.: A Leray-Schauder type theorem for approximable maps. Proc. Amer. Math. Soc., 122 (1994), 105–109 | MR | Zbl

[4] Deimling K.: Multivalued differential equations. Walter de Gruyter, Berlin, 1992 | MR | Zbl

[5] Fitzpatrick P. M., Petryshyn W. V.: Fixed point theorems for multivalued noncompact acyclic mappings. Pacific Jour. Math., 54 (1974), 17–23 | MR | Zbl

[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. | MR | Zbl

[7] O’Regan D.: Some fixed point theorems for concentrative mappings between locally convex spaces. Nonlinear Analysis, 27 (1996), 1437–1446. | MR

[8] O’Regan D.: Fixed points and random fixed points for weakly inward approximable maps. Proc. Amer. Math. Soc., (to appear) | MR | Zbl

[9] O’Regan D.: Multivalued integral equations in finite and infinite dimensions. Comm. in Applied Analysis, (to appear) | MR | Zbl

[10] O’Regan D.: Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces. Proc. Amer. Math. Soc., (to appear) | MR | Zbl

[11] O’Regan D.: A general coincidence theory for set valued maps. (submitted) | Zbl

[12] Zeidler E.: Nonlinear functional analysis and its applications, Vol 1. Springer Verlag, New York, 1986 | MR