Results 1 to 10 of about 663 (183)
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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Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators [PDF]
Fixed Point Theory and Applications, 2006 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.
Vara Prasad KNVV, Babu GVR
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A remark on Ishikawa iteration
Science Bulletin, 1997 The Ishikawa iterative process associated to a continuous strongly pseudocontractive map is shown to converge, in a strong sense, towards the fixed point of that map.
Haiyun Zhou, Zhou Haiyun
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On the Mann and Ishikawa iteration processes [PDF]
Abstract and Applied Analysis, 1996 It is shown that a result of Chidume, involving the strong convergence of the Mann iteration process for continuous strongly accretive operators, is actually a corollary to a result by Nevanlinna and Reich. It is then shown that the Nevanlinna and Reich result can be extended to the case of an Ishikawa iteration process.
Jia Yuting, Zhou Haiyun
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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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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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Classical results via Mann-Ishikawa iteration
Journal of Numerical Analysis and Approximation Theory, 2007 New proofs of existence and uniqueness results for the solution of the Cauchy problem with delay are obtained by use of Mann-Ishikawa iteration.
Ştefan M. Şoltuz, Diana Otrocol
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Ishikawa iteration process with errors for nonexpansive mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized.
Jialin Huang
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Introduction of new Picard–S hybrid iteration with application and some results for nonexpansive mappings [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – In this paper, Picard–S hybrid iterative process is defined, which is a hybrid of Picard and S-iterative process. This new iteration converges faster than all of Picard, Krasnoselskii, Mann, Ishikawa, S-iteration, Picard–Mann hybrid, Picard ...
Julee Srivastava
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Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations like Mann, Ishikawa, oor, D- iterations, and *-
Zena Hussein Maibed, Ali Qasem Thajil
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