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

摘要

We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weakΦ-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.