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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (COMSATS INSTITUTE OF INFORMATION TECHNOLOGY, ISLAMABAD, PAKISTAN)

Rafiq Arif. (2006). ON THE CONVERGENCE OF THE MODIFIED NOOR ITERATION PROCESS WITH ERRORS IN THE CLASS OF QUASI-CONTRACTIVE OPERATORS. 한국수학교육학회지시리즈B:순수및응용수학, 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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논문 상세

Vol.13 No.1

ON THE CONVERGENCE OF THE MODIFIED NOOR ITERATION PROCESS WITH ERRORS IN THE CLASS OF QUASI-CONTRACTIVE OPERATORS

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학