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Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
Fixed Point Theory and Applications volume 2006, Article number: 49615 (2006)
Abstract
The purpose of this paper is to show that the Mann iteration converges faster than the Ishikawa iteration for the class of Zamfirescu operators of an arbitrary closed convex subset of a Banach space.
Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators http://dx.doi.org/10.1155/2007/97986
References
Berinde V: Iterative Approximation of Fixed Points. Editura Efemeride, Baia Mare; 2002:xii+283.
Berinde V: On the convergence of the Ishikawa iteration in the class of quasi contractive operators. Acta Mathematica Universitatis Comenianae. New Series 2004,73(1):119–126.
Berinde V: Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators. Fixed Point Theory and Applications 2004, (2):97–105.
Berinde V: On the convergence of Mann iteration for a class of quasicontractive operators. in preparation, 2004
Zamfirescu T: Fix point theorems in metric spaces. Archiv der Mathematik 1992, 23: 292–298.
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An erratum to this article is available at http://dx.doi.org/10.1155/2007/97986.
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Babu, G., Vara Prasad, K. Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators. Fixed Point Theory Appl 2006, 49615 (2006). https://doi.org/10.1155/FPTA/2006/49615
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DOI: https://doi.org/10.1155/FPTA/2006/49615