A modified parallel monotone hybrid algorithm for a finite family of G-nonexpansive mappings and application to a novel signal recovery

Abstract

In this work, we aim to prove the convergence of the sequences generated by the shrinking projection method and the parallel monotone method to find a common fixed point of a finite family of G-nonexpansive mappings endowed with graphs. We obtain strong convergence results under some mild conditions. We provide numerical examples and give applications to signal recovery. Moreover, numerical experiments of our algorithms which different blurred matricesn on the algorithm to show the efficiency and the implementation for signal recovery.