INERTIAL HYBRID PROJECTION METHODS WITH SELECTION TECHNIQUES FOR SPLIT COMMON FIXED POINT PROBLEMS IN HILBERT SPACES

Abstract

In this work, we propose a new hybrid projection method based on inertial effects and selection techniques to solve the split common fixed point problem of demicontractive operators in real Hilbert spaces. The strong convergence of the method is proved by assuming standard assumptions. Additionally, application is given to the multiple-sets split feasibility problem.