| Title:
|
Random fixed points of increasing compact random maps (English) |
| Author:
|
Beg, Ismat |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
2001 |
| Pages:
|
329-332 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(\Omega ,\Sigma )$ be a measurable space, $(E,P)$ be an ordered separable Banach space and let $[a,b]$ be a nonempty order interval in $E$. It is shown that if $f:\Omega \times [a,b]\rightarrow E$ is an increasing compact random map such that $a\le f(\omega ,a)$ and $f(\omega ,b)\le b$ for each $\omega \in \Omega $ then $f$ possesses a minimal random fixed point $\alpha $ and a maximal random fixed point $\beta $. (English) |
| Keyword:
|
random fixed point |
| Keyword:
|
random map |
| Keyword:
|
measurable space |
| Keyword:
|
ordered Banach space |
| MSC:
|
47H10 |
| MSC:
|
47H40 |
| MSC:
|
60H25 |
| idZBL:
|
Zbl 1068.47079 |
| idMR:
|
MR1879455 |
| . |
| Date available:
|
2008-06-06T22:29:29Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107810 |
| . |
| Reference:
|
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| Reference:
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| . |
