Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps
<p/> <p>We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators. We also compare the rates of convergence between Krasnoselskij and Mann iterations for Zamfirescu operators.</p>
Main Authors: | Xue Zhiqun, Rhoades BE |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2010-01-01
|
Series: | Fixed Point Theory and Applications |
Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/169062 |
Similar Items
-
Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps
by: B. E. Rhoades, et al.
Published: (2010-01-01) -
The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
by: Zhiqun Xue
Published: (2008-03-01) -
The Comparison of the Convergence Speed between Picard, Mann, Krasnoselskij and Ishikawa Iterations in Banach Spaces
by: Xue Zhiqun
Published: (2008-01-01) -
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
by: Xue Zhiqun
Published: (2007-08-01) -
Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
by: Zhiqun Xue
Published: (2007-01-01)