Approximating Common Fixed Points for a Finite Family of Asymptotically Nonexpansive Mappings Using Iteration Process with Errors Terms

Seyit Temir and Adem Kiliçman

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

Let be a real Banach space and a nonempty closed convex subset of . Let be asymptotically nonexpansive mappings with sequence , , and , where is the set of fixed points of . Suppose that , , are appropriate sequences in and , are bounded sequences in such that for . We give defined by The purpose of this paper is to study the above iteration scheme for approximating common fixed points of a finite family of asymptotically nonexpansive mappings and to prove weak and some strong convergence theorems for such mappings in real Banach spaces. The results obtained in this paper extend and improve some results in the existing literature.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:974317

DOI: 10.1155/2013/974317

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