CONVERGENCE ANALYSIS OF MULTIPLE-SETS SPLIT EQUALITY COMMON FIXED POINT PROBLEM WITH APPLICATIONS

In this paper, we suggest a new inertial type parallel iterative algorithm and prove its strong convergence for finding a solution of multiple-sets split equality common fixed point problem for a finite family of demicontractive mappings in real Hilbert spaces. The suggested algorithm does not require prior knowledge of operator norm. We apply our result to study multiple sets split equality common fixed point problem for a finite family of quasipseudocontractive mappings. Further, we also apply our result to solve various split type problems and intensity-modulated radiation therapy. Moreover, we give numerical experiments for supporting our main result and compare it with other existing methods.