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Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
Joint Authors
Wahab, O. T.
Olawuyi, R. O.
Rauf, K.
Usamot, I. F.
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-10-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wahab, O. T.& Olawuyi, R. O.& Rauf, K.& Usamot, I. F.. 2016. Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces. Journal of Mathematics،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108969
Modern Language Association (MLA)
Wahab, O. T.…[et al.]. Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces. Journal of Mathematics No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1108969
American Medical Association (AMA)
Wahab, O. T.& Olawuyi, R. O.& Rauf, K.& Usamot, I. F.. Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces. Journal of Mathematics. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1108969
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108969