Inertial Accelerated Steepest Descent Algorithm for Generalized Split Common Fixed Point Problems

Motivated by some recent works in the field of fixed point theory, in this paper, we consider the generalized split common fixed point problem for demimetric mappings and we present an accelerated steepest descent method that uses a new step-size selection technique. Our work generalizes some related results from the literature on split common fixed point problems. Under suitable assumptions, the weak convergence of the proposed method is established, and primary numerical experiments demonstrate the performance of our new scheme.