A SIMPLE STRONG CONVERGENT METHOD FOR SOLVING SPLIT COMMON FIXED POINT PROBLEMS

In this paper, we study the split common fixed point problem for demicontractive mappings in real Hilbert spaces. We propose an alternative regularization scheme with a self-adaptive step size for solving the problem and prove its strong convergence. Furthermore, we apply our main results to split feasibility problems, split variational inequality problems and signal processing. Several numerical examples show that our algorithm has some competitive advantage over some existing algorithms in the literature. Our results extend, complement, and generalize many recent related results in the literature.

Automated summary

In this paper, we studied the split common fixed point problem for demicontractive mappings in real Hilbert spaces and proposed a solution with self-adaptive step size. Numerical examples demonstrated the competitive advantage of our algorithm over existing ones. Our results extend, complement, and generalize many recent related results in the literature.