an: Zbl 1186.47070
au: Moore, Chika; Nnanwa, C.P.; Ugwu, B.C.
ti: Approximation of common random fixed points of finite families of
    N-uniformly $L_i$-Lipschitzian asymptotically hemicontractive random maps in
    Banach spaces.
la: EN
so: Banach J. Math. Anal. 3, No. 2, 77-85, electronic only (2009).
py: 2009
dt: J
cc: *47J25 47H40 47H06 47H09
ut: N-uniformly $L_i$-Lipschitzian; finite family; asymptotically
    hemicontractive map; explicit iteration; Banach space
ab: 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.