2010Shuxue de shijian yu renshiRequires access

Strong Convergence of a New Iteration for Asymptotically Nonexpansive Nonself-mapping

Yinying Zhou

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Abstract

The purpose of this paper is to investigate the Strong convergence of a new iteration for asymptotically nonexpansive nonself-mapping,by using corresponding the basic properties of the retraction,we introduce a new Ishikawa iterative process for asymptotically nonexpansive nonself-mapping in a uniformly convex Banach space,it's shown that under some suitable conditions,the iterative sequence converges strongly to some fixed points of T.These extend and impove some corresponding results in relevant references.

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What this paper is about

The purpose of this paper is to investigate the Strong convergence of a new iteration for asymptotically nonexpansive nonself-mapping,by using corresponding the basic properties of the retraction,we introduce a new Ishikawa iterative process for asymptotically nonexpansive nonself-mapping in a uniformly convex Banach space,it's shown that under some suitable conditions,the iterative sequence converges strongly to some fixed points of T.These extend and impove some corresponding results in relevant references.

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Available abstract

The purpose of this paper is to investigate the Strong convergence of a new iteration for asymptotically nonexpansive nonself-mapping,by using corresponding the basic properties of the retraction,we introduce a new Ishikawa iterative process for asymptotically nonexpansive nonself-mapping in a uniformly convex Banach space,it's shown that under some suitable conditions,the iterative sequence converges strongly to some fixed points of T.These extend and impove some corresponding results in relevant references.

Key concepts: Banach space, Convergence (economics), Fixed point, Regular polygon, Iterative and incremental development, Sequence (biology), Mathematics, Applied mathematics

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