Adaptive algorithm for solving the SCFPP of demicontractive operators without a priori knowledge of operator norms

Abstract

In this paper, we study the split common fixed point problem in Hilbert spaces. We find a common solution of the split common fixed point problem for two demicontractive operators without a priori knowledge of operator norms. A strong convergence theorem is obtained under some additional conditions and numerical examples are included to illustrate the applications in signal compressed sensing and image restoration.

Keywords

• common solution
• demicontractive operator
• split feasibility problem
• split common fixed point problem
• hilbert space
• primary 47h09
• secondary 49m05