Results 11 to 20 of about 582 (150)
The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
International Journal of Mathematics and Mathematical Sciences, 2006 We show that the Mann and Ishikawa iterations are equivalently used to approximate fixed points of generalized contractions.
B. E. Rhoades, Ştefan M. Şoltuz
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Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models
Mathematical Communications, 2003 Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several classes of operators.
Şolutuz, Ş. M.
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New technique for proving the equivalence of Mann and Ishikawa iterations
Journal of Numerical Analysis and Approximation Theory, 2005 We show the equivalence bewteen the convergences of Mann and Ishikawa iterations dealing with various classes of non-Lipschitzian operators.
Ştefan M. Şoltuz
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The equivalence between Krasnoselskij, Mann, Ishikawa, Noor and multistep iterations
Mathematical Communications, 2007 We prove that Krasnoselskij, Mann, Ishikawa, Noor and multistep iterations are equivalent when applied to quasi-contractive operators.
Şoltuz, Ştefan M., Ştefan M. Şoltuz
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Comments on the Rate of Convergence between Mann and Ishikawa Iterations Applied to Zamfirescu Operators [PDF]
Fixed Point Theory and Applications, 2008 In the work of Babu and Vara Prasad (2006), the claim is made that Mann iteration converges faster than Ishikawa iteration when applied to Zamfirescu operators. We provide an example to demonstrate that this claim is false.
Rhoades BE, Qing Yuan
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The equivalence between the Krasnoselskij, Mann and Ishikawa iterations
Journal of Numerical Analysis and Approximation Theory, 2006 We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.
B. E. Rhoades, Ştefan M. Şoltuz
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Journal of Numerical Analysis and Approximation Theory, 2007 We prove an inequality which is crucial in the proof of the main result from B.E. Rhoades and ?tefan M. ?oltuz, The Equivalence between the Convergences of Ishikawa and Mann Iterations for an Asymptotically Pseudocontractive Map, J. Math. Anal.
Ştefan M. Şoltuz
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Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings [PDF]
Journal of Applied Mathematics, 2013 Our aim in this paper is to illustrate that the proof of main theorem of Rhoades and Şoltuz (2003) concerning the equivalence between the convergences of Ishikawa and Mann iterations for uniformly L-Lipschitzian asymptotically pseudocontractive maps is ...
Haizhen Sun, Zhiqun Xue
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Remarks about a paper dealing with the equivalence of Mann and Ishikawa iterations
Journal of Numerical Analysis and Approximation Theory, 2004 We give an affirmative answer to the following question: are Mann and Ishikawa iterations equivalent under the assumptions that \(\lim_{n\rightarrow\infty }\alpha_{n}\neq0\;\) and \(\lim_{n\rightarrow\infty}\beta_{n}\neq0\)?
Ştefan M Şoltuz
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Journal of Numerical Analysis and Approximation Theory, 2004 In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
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