Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces

O. T. Wahab, R. O. Olawuyi, K. Rauf and I. F. Usamot

Journal of Mathematics, 2016, vol. 2016, 1-8

Abstract:

This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors. We compare the aforementioned iterations using numerical approach; the results show that S-iteration converges faster than other iterations followed by Picard-Mann iteration, while Ishikawa iteration is the least in terms of convergence rate. These results also suggest the best among two-step iterative fixed point schemes in the literature.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9641706

DOI: 10.1155/2016/9641706

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