New inertial self-adaptive algorithms for the split feasibility problem with multiple output sets.

In this work, we study the split common fixed point problem with multiple output sets for two finite families of generalized demimetric mappings in Hilbert space. In order to solve this problem, we suggest a new inertial self-adaptive algorithm and establish a strong convergence theorem for it under relevant conditions. We also provide a numerical example to support our main result. [ABSTRACT FROM AUTHOR]