The purpose of this study is to introduce a Noor-type random iterative scheme
and prove the convergence of this kind of random iterative scheme for certain �-weakly con-
tractive type random operators. The Bochner integrability of random fixed points for this kind
of random operators and the almost sure T -stability and convergence for Noor-type random
iterative scheme are established. Our results are stochastic generalizations of the deterministic
fixed point theorems of Berinde [7, 8] and Rhoades [29]-[32]
