The split equality fixed point problem for demi-contractive mappings

Abstract

Motivated by the recent work of Moudafi and inspired by Xu , Censor et al. , and Yang,we investigate a Krasnoselskii-type iterative algorithm for solving the split equality fixed pointproblem recently introduced by Moudafi et al.. Weak and strong convergence theorems areproved for the class of demi-contractive mappings in Hilbert spaces. Our theorems extend andcomplement some recent results of Moudafi and a host of other recent important results.