Novel strong convergence theorems for the split common fixed point problem of demicontractive operators with an application to signal processing
Thong Duong Viet, Dung Vu Tien, Dang Huy Ngan, Nguyen Thi An · Journal of Industrial and Management Optimization · 2025
The purpose of this paper is to introduce two self-adaptive algorithms using inertial effects and step sizes which do not depend on the norm of the bounded linear operator for solving the split common fixed point problem of demicontractive operators in real Hilbert spaces. Strong convergence results of the proposed algorithms are proved and analyzed under some control conditions. Furthermore, some numerical experiments illustrating the convergence behavior and the efficiency of our proposed algorithm are also given.