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On The Convergence of the Modified Noor Iteration Process with Errors in the Class of Quasi-Contractive Operators

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.1, pp.39-46
Rafiq Arif
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Abstract

We establish a general theorem to approximate fixed points of quasicontractive operators on a normed space through the Noor iteration process with errors in the sense of Liu [9]. Our result generalizes and improves upon, among others, the corresponding result of Berinde [1].

keywords
iteration process, contractive condition, strong convergence

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics