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A New Iterative Method for Common Fixed Points of a Finite Family of Nonexpansive Mappings

Suwicha Imnang and Suthep Suantai

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-9

Abstract:

Let be a real uniformly convex Banach space and a closed convex nonempty subset of . Let be a finite family of nonexpansive self-mappings of . For a given , let and , , be sequences defined , where for all , and . In this paper, weak and strong convergence theorems of the sequence to a common fixed point of a finite family of nonexpansive mappings are established under some certain control conditions.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:391839

DOI: 10.1155/2009/391839

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