Strong Convergence Theorems for the Split Variational Inclusion Problem and Common Fixed Point Problem for a Finite Family of Quasi-nonexpansive Mappings in Hilbert Spaces

Varayut Boonyasri, Suthep Suantai, Phakdi Charoensawan

Abstract

In this work, we introduce and study an algorithm for solving the com-mon xed point problem of a nite family of quasi-nonexpansive mappings and thesplit variational inclusion problem in Hilbert spaces. We establish a strong conver-gence result under some suitable conditions. Some numerical example supportingour main result is also given.