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).