Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
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Date
2016-09-09
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Hindawi Publishing Corporation
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.
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Citation
O. T. Wahab, R. O. Olawuyi, K. Rauf, I. F. Usamot (2016), Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces, Journal of Mathematics Volume 2016, Article ID 9641706, 8 pages.