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

Guiwen Lv | Zendy; Haiyun Zhou | Zendy

Open Access

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

Author(s) -

Guiwen Lv,

Haiyun Zhou

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/169410

Subject(s) - mathematics , equivalence (formal languages) , banach space , convergence (economics) , weak convergence , discrete mathematics , computer science , computer security , economics , asset (computer security) , economic growth

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

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