Results 11 to 20 of about 269,682 (199)
The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We show that the convergence of Mann iteration is equivalent to the convergence of Ishikawa iteration for various classes of non-Lipschitzian operators.
B. E. Rhoades, Ştefan M. Şoltuz
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On the equivalence of Mann and Ishikawa iteration methods
International Journal of Mathematics and Mathematical Sciences, 2003 We show that certain Mann and Ishikawa iteration schemes are equivalent for various classes of functions.
B. E. Rhoades, Stefan M. Soltuz
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The equivalence between the Krasnoselskij, Mann and Ishikawa iterations [PDF]
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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International Journal of Mathematics and Mathematical Sciences, 2004 We show that the Ishikawa iteration and the corresponding Mann iteration are equivalent when applied to ψ-uniformly pseudocontractive or ψ-uniformly accretive maps.
B. E. Rhoades, Ştefan M. Şoltuz
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The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We investigate the equivalence between the convergences of the Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces.
Zeqing Liu +3 more
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Approximating the zeros of accretive operators by the Ishikawa iteration process [PDF]
Abstract and Applied Analysis, 1996 Some strong convergence theorems are established for the Ishikawa iteration processes for accretive operators in uniformly smooth Banach spaces.
Zhou Haiyun, Jia Yuting
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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.
B. E. Rhoades, Yuan Qing
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 The paper establishes some convergence theorems for Ishikawa type iteration processes associated with two and three quasi-nonexpansive mappings in a convex metric space.
Fukhar-ud-din Hafiz
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Abstract and Applied Analysis, 2022 In this paper, we consider a JS metric space endowed with convexity structure, which will allow us to examine and study convergence of Mann iteration and Ishikawa iteration for Banach type and Chatterjea type contractions defined on JS metric space.
Youness El Kouch, Jamal Mouline
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We shall consider the behaviour of Ishikawa iteration with errors in a uniformly convex Banach space.
Deng Lei, Li Shenghong
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