The Equivalence of Convergence Results between Mann and Multistep Iterations with Errors for Uniformly Continuous Generalized Weak Φ -Pseudocontractive Mappings in Banach Spaces

Abstract

We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak $\mathrm{\Phi }$-pseduocontractive mappings in Banach spaces. We also obtain the convergence results of Mann and multistep iterations with errors. Our results extend and improve the corresponding results.