| Title:
|
On the covering dimension of the fixed point set of certain multifunctions (English) |
| Author:
|
Ricceri, Ornella Naselli |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
281-286 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented. (English) |
| Keyword:
|
multifunction |
| Keyword:
|
fixed point |
| Keyword:
|
covering dimension |
| Keyword:
|
variational inequality |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| MSC:
|
47H19 |
| MSC:
|
49A29 |
| MSC:
|
49J40 |
| idZBL:
|
Zbl 0753.47034 |
| idMR:
|
MR1137789 |
| . |
| Date available:
|
2009-01-08T17:44:03Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116969 |
| . |
| Reference:
|
[1] Aubin J.-P.: Mathematical methods of game and economic theory.North-Holland Publishing Company, 1979. Zbl 1152.91005, MR 0556865 |
| Reference:
|
[2] Engelking R.: Dimension theory.PWN, 1978. Zbl 0401.54029, MR 0482697 |
| Reference:
|
[3] Naselli Ricceri O.: $\Cal A$-fixed points of multi-valued contractions.J. Math. Anal. Appl. 135 (1988), 406-418. Zbl 0662.54030, MR 0967219 |
| Reference:
|
[4] Ricceri B.: Fixed points of lower semicontinuous multifunctions and applications: alternative and minimax theorems.Rend. Accad. Naz. Sci. XL, Mem. Mat. 103 (1985), 331-338. Zbl 0586.47058, MR 0899257 |
| Reference:
|
[5] Saint Raymond J.: Points fixes des multiplications à valeurs convexes.C.R. Acad. Sci. Paris, Sér. I, 298 (1984), 71-74. MR 0740940 |
| . |
