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

Guiwen Lv and Haiyun Zhou

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We prove the equivalence of the convergence of the Mann and multistep iterations with errors for uniformly continuous generalized weak Φ‐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.

Date: 2012
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https://doi.org/10.1155/2012/169410

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:169410

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