A Comparison of Mann and Ishikawa iterations of quasi-contraction operators
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Date
2007
Authors
Olaleru, J.O
Journal Title
Journal ISSN
Volume Title
Publisher
World Congress on Engineering
Abstract
It is generally conjectured that the Mann iteration converges faster than the Ishikawa iteration for any operator defined on an arbitrary closed convex subset of a Banach space. The recent result of Babu et al [1] shows that this conjecture can be proved for a class of quasi-contractive operators called the Zamfirescu operators[10]. In this paper it is shown that the proof can indeed be generalised to that of quasi-contraction maps.
Description
Staff publications
Keywords
Fixed point , Quasi-contraction , Mann iteration , Ishikawa iteration , Research Subject Categories::MATHEMATICS
Citation
Olaleru, J.O. (2007). A Comparison of Mann and Ishikawa iterations of quasi-contraction operators