Projective iterative method for solving split-null inclusion, variational inequality and hierarchical fixed point problems application to signal recovery

This paper studies a common problem of hierarchical fixed point problems for nonexpansive and quasi-nonexpansive mappings, variational inequality, and split null inclusion problems. A hybrid projective method is modified to obtain strong convergence in Hilbert spaces. An example is infinitely dimensional spaces shown for supporting the main result. As applications, the proposed method is applied to solve signal recovery problems.