A new iterative algorithm for split solution problems of quasi-nonexpansive mappings (Q2341020)

Let \(H_1\) and \(H_2\) be two Hilbert spaces, \(T_1:H_1\to H_1\) and \(T_2:H_2\to H_2\) be nonlinear operators, and \(A: H_1\to H_2\) be linear and bounded. The split common fixed point problem consists in finding \(x\in H_1\) such that \(T_1(x)= x\) and \(T_2(Ax)= Ax\). In this paper, the authors study this problem for quasi-nonexpansive operators \(T_1\) and \(T_2\).