@article{1186.47070,
author="Moore, Chika and Nnanwa, C.P. and Ugwu, B.C.",
title="{Approximation of common random fixed points of finite families of
    N-uniformly $L_i$-Lipschitzian asymptotically hemicontractive random maps in
    Banach spaces.}",
language="English",
journal="Banach J. Math. Anal. ",
volume="3",
number="2",
pages="77-85",
year="2009",
abstract="{Summary: Let $(\Omega,\Sigma,\mu)$ be a complete probability measure
    space, $E$ be a real separable Banach space, $K$ a nonempty closed convex
    subset of $E$. Let $T : \Omega \times K \rightarrow K$, such that
    $\{T_i\}_{i=1}^N$ be $N$-uniformly $L_i$-Lipschitzian asymptotically
    hemicontractive random maps of $K$ with $F = \cap_{i=1}^N F (T_i)
    \ne\emptyset$. We construct an explicit iteration scheme and prove necessary
    and sufficient conditions for approximating common fixed points of a finite
    family of asymptotically hemicontractive random maps.}",
keywords="{N-uniformly $L_i$-Lipschitzian; finite family; asymptotically
    hemicontractive map; explicit iteration; Banach space}",
classmath="{*47J25 (Methods for solving nonlinear operator equations (general))
47H40 (Random operators)
47H06 (Accretive operators, etc. (nonlinear))
47H09 (Mappings defined by "shrinking" properties)
}",
}