2004•Acta Analysis Functionalis ApplicataRequires access

Some New Strong Convergence Theorems for Ishikawa Iterative Sequences With Errors for Asymptotically Nonexpansive Mappings

Wang Shao-rong

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Abstract

In the present paper, by new method we have established a new strong convergence theorem for the Ishikawa iterative sequences with errors without the restrictioon that {α_n} is decreasing for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve and prefect the corresponding results announced by Schu, Rhoades and Zhou Hai-yun.

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What this paper is about

In the present paper, by new method we have established a new strong convergence theorem for the Ishikawa iterative sequences with errors without the restrictioon that {α_n} is decreasing for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve and prefect the corresponding results announced by Schu, Rhoades and Zhou Hai-yun.

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Available abstract

In the present paper, by new method we have established a new strong convergence theorem for the Ishikawa iterative sequences with errors without the restrictioon that {α_n} is decreasing for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve and prefect the corresponding results announced by Schu, Rhoades and Zhou Hai-yun.

Key concepts: Banach space, Mathematics, Convergence (economics), Regular polygon, Applied mathematics, Pure mathematics, Iterative method, Discrete mathematics

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