| Title:
|
A fixed point theorem in a Hausdorff topological vector space (English) |
| Author:
|
Kim, Won Kyu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
33-38 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we will give a new fixed point theorem for lower semicontinuous multimaps in a Hausdorff topological vector space. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
lower semicontinuous |
| Keyword:
|
open graph |
| Keyword:
|
open convex |
| Keyword:
|
Hausdorff topological vector space |
| MSC:
|
47H10 |
| MSC:
|
52A07 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0829.47049 |
| idMR:
|
MR1334412 |
| . |
| Date available:
|
2009-01-08T18:15:51Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118730 |
| . |
| Reference:
|
[1] Ding X.P., Kim W.K., Tan K.K.: A selection theorem and its applications.Bull. Austral. Math. Soc. 46 (1992), 205-212. Zbl 0762.47030, MR 1183778 |
| Reference:
|
[2] Idzik A.: Approximative continuous selections and approximative fixed points for convex set-valued functions.preprint, 1991. |
| Reference:
|
[3] Istratescu V.I.: Fixed Point Theory.D. Reidel Pub. Co., 1981. Zbl 0465.47035, MR 0620639 |
| Reference:
|
[4] Park S.: The Brouwer and Schauder fixed point theorems for spaces having certain contractible subsets.Bull. Kor. Math. Soc. 30 (1993), 83-89. Zbl 0826.54032, MR 1217373 |
| Reference:
|
[5] Rassias T.M.: On fixed point theory in non-linear analysis.Tamkang J. Math. 8 (1977), 233-237. Zbl 0394.47030, MR 0510168 |
| Reference:
|
[6] Rudin W.: Functional Analysis.McGraw-Hill, 1973. Zbl 0867.46001, MR 0365062 |
| Reference:
|
[7] Tian G.: Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity.J. Math. Anal. Appl. 170 (1992), 457-471. Zbl 0767.49007, MR 1188565 |
| Reference:
|
[8] Toussaint S.: On the existence of equilibria in economies with infinitely many commodities and without ordered preferences.J. Econom. Theory 33 (1984), 98-115. Zbl 0543.90016, MR 0748029 |
| . |
