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

Rafiq Arif; Rafiq Arif

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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Vol.13 No.1

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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: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

2006, v.13 no.1, pp.39-46

Rafiq Arif

Rafiq, A. (2006). On The Convergence of the Modified Noor Iteration Process with Errors in the Class of Quasi-Contractive Operators. , 13(1), 39-46.

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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

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Article Contents

Vol.13 No.1

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

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics