A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces

We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose a new algorithm and establish a strong convergence theorem for it. Moreover, using our method, we also remove the assumptions imposed on the norms of the transfer operators.

Automated summary

This research focuses on the split common fixed point problem with multiple output sets in Hilbert spaces. A new algorithm is proposed and a strong convergence theorem is established for solving the problem, as well as removing the assumptions on the norms of the transfer operators.