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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 3
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Original Articles

Stability of iterative procedures with errors for approximating common fixed points of quasi-contractive mappings

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Pages 253-267 | Published online: 17 Aug 2006
 

Abstract

In this article, we introduce a new class of iterative sequences with errors for approximating the common fixed point of a couple of quasi-contractive mappings and show the stability of the iterative procedures with errors in q-uniformly smooth Banach spaces. Our results extend, improve and unify the corresponding results of Agarwal, Cho, Li, Huang, Chidume, Osilike, Liu, and others.

Acknowledgement

The work was supported by the National Natural Science Foundation of China, the China West Normal University Scientific Research Fund (2000-3), and the Korea Research Foundation Grant (KRF-2003-002-C00018).

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