Strong Convergence of Generalized Projection Algorithms for Nonlinear Operators

Abstract

We establish strong convergence theorems for finding a common element ofthe zero point set of a maximal monotone operator and the fixed point set of two relativelynonexpansive mappings in a Banach space by using a new hybrid method. Moreover weapply our main results to obtain strong convergence for a maximal monotone operator andtwo nonexpansive mappings in a Hilbert space.