2006Journal of Yibin UniversityRequires access

Weak and Strong Convergence Theorems of Common Fixed Points for Asymptotically Nonexpansive Mappings with Errors

Zhiping Liu

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Abstract

E is a real uniformly convex Banach space and C is a nonempty closed convex subset of E.It is shown that under some suitable conditions,there is a theorem of weak and strong convergence theorems of iterative sequences with errors to a common fixed point for three asymptotically nonexpansive mappings in Banach spaces.The results presented in this arti- cle also extend and improve some recent results.

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E is a real uniformly convex Banach space and C is a nonempty closed convex subset of E.It is shown that under some suitable conditions,there is a theorem of weak and strong convergence theorems of iterative sequences with errors to a common fixed point for three asymptotically nonexpansive mappings in Banach spaces.The results presented in this arti- cle also extend and improve some recent results.

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E is a real uniformly convex Banach space and C is a nonempty closed convex subset of E.It is shown that under some suitable conditions,there is a theorem of weak and strong convergence theorems of iterative sequences with errors to a common fixed point for three asymptotically nonexpansive mappings in Banach spaces.The results presented in this arti- cle also extend and improve some recent results.

Key concepts: Banach space, Mathematics, Regular polygon, Fixed point, Convergence (economics), Weak convergence, Pure mathematics, Fixed-point theorem

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