Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings

الملخص EN

Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem.

In this paper, we will continue to consider the split common fixed-point problem.

We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces.

Our results improve and extend the corresponding results announced by many others.