2006•Unpublished venueRequires access

Approximating to fixed points of asymptotically nonexpansive mappings in uniformly convex Banach spaces

Rudong Chen

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Abstract

In the present paper,by virtue of Bruck′s inequality,the convergence theorem for the Ishikawa iterative sequences with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces are proved.The results presented in t his paper improve and prefect the corresponding results announced by Schu,Rhoades,Zhou Haiyun,Wang Shaorong and others.

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What this paper is about

In the present paper,by virtue of Bruck′s inequality,the convergence theorem for the Ishikawa iterative sequences with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces are proved.The results presented in t his paper improve and prefect the corresponding results announced by Schu,Rhoades,Zhou Haiyun,Wang Shaorong and others.

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Available abstract

In the present paper,by virtue of Bruck′s inequality,the convergence theorem for the Ishikawa iterative sequences with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces are proved.The results presented in t his paper improve and prefect the corresponding results announced by Schu,Rhoades,Zhou Haiyun,Wang Shaorong and others.

Key concepts: Mathematics, Banach space, Regular polygon, Uniformly convex space, Fixed point, Convergence (economics), Pure mathematics, Discrete mathematics

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