Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 3, pp. 305-309 (2006)

On the convergence of the three-step iteration process in the class of quasi-contractive operators

Arif Rafiq

COMSATS Institute of Information Technology

Abstract: We establish a general theorem to approximate fixed points of quasi-contractive operators on a normed space through the three-step iteration process. Our result generalizes and improves upon, among others, the corresponding result of Berinde.

Keywords: Iteration process, contractive condition, strong convergence.

Classification (MSC2000): 47H10; 47H17

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