Approximating fixed points of infinite nonexpansive mappings by the hybrid method (Q1411493)

The authors, first, introduce an iterative scheme for finding a common point of infinite nonexpansive mappings \(T_i\), \(i=1, 2, \ldots\) in a Hilbert space \(H\) by using a hybrid method, where \(T_i\) is a nonexpansive mapping of \(C\) into itself and \(C\subset H\) is a nonempty closed convex set. Next, they prove a strong convergence theorem which is connected with the problem of image recovery. Furthermore, using the above result, they consider a generalized problem of image recovery and the problem of finding a common fixed point of a family of nonexpansive mappings.