APPROXIMATION OF COMMON RANDOM FIXED POINTS OF FINITE FAMILIES OF N-UNIFORMLY Li-LIPSCHITZIAN ASYMPTOTICALLY HEMICONTRACTIVE RANDOM MAPS IN BANACH SPACES

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 x K --> K, such that {T-i}(i=1)(N), be N- uniformly L-i-Lipschitzian asymptotically hemicontractive random maps of K with F = boolean AND(N)(i=1) F(T-i) not equal empty set. We construct an explicit iteration scheme and prove neccessary and sufficient conditions for approximating common fixed points of finite family of asymptotically hemicontractive random maps.