Convergence of random product in Banach space
Gang Li · Journal of Yangzhou University · 2007
Let {T1,T2,…,TN} be a set of nonexpansive mappings that satisfy condition(W) with a common fixed point,and let r be a mapping from the set of natural numbers N to {1,2,…,N}.An random product of these mappings is the sequence Sn=Tr(n)Tr(n-1)…Tr(1). This paper shows that the random product converges weakly to a common fixed point.