Random fixed points of increasing compact random maps
Beg, Ismat
Archivum Mathematicum, Tome 037 (2001), p. 329-332 / Harvested from Czech Digital Mathematics Library
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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 $.

Publié le : 2001-01-01
Classification:  47H10,  47H40,  60H25 
@article{107810,
     author = {Ismat Beg},
     title = {Random fixed points of increasing compact random maps},
     journal = {Archivum Mathematicum},
     volume = {037},
     year = {2001},
     pages = {329-332},
     zbl = {1068.47079},
     mrnumber = {1879455},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107810}
}

Beg, Ismat. Random fixed points of increasing compact random maps. Archivum Mathematicum, Tome 037 (2001) pp. 329-332. http://gdmltest.u-ga.fr/item/107810/

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