A Comparison of Mann and Ishikawa iterations of quasi-contraction operators
نویسنده
چکیده
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 quasicontraction maps.
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Picard Iteration Converges Faster than Mann Iteration for a Class of Quasi-contractive Operators
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