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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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

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

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

한국수학교육학회지시리즈B:순수및응용수학