Results 1 to 10 of about 944,763 (176)
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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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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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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Journal of Inequalities and Applications, 2019 In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained.
Chao Wang, Xueli Li, Pengkun Huang
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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 Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings
Results in Nonlinear Analysis, 2021 Charles[1] proved the convergence of Picard-type iterative for generalized Φ−accretive non-self mappings in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ−quasi-accretive and fixed points of strongly Φ−hemi ...
Linxin Li, Dingping Wu
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Non Linear Dynamics of Ishikawa Iteration
International Journal of Computer Applications, 2010 ABSTRACT We introduce in this paper the dynamics for Ishikawa iteration procedure. The geometry of Relative Superior Mandelbrot sets are explored for Ishikawa iterates. allowed to be complex numbers. In other words, i Keywords 2 Complex dynamics, Relative Superior Mandelbrot Set, Ishikawa Iteration.. 1.
Rajeshri Rana, Y. S. Chauhan, A. Negi
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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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On the Ishikawa iteration process in Hilbert spaces
Collectanea Mathematica, 1994 In this paper, we shall prove that a certain sequence of points which is iteratively defined converges always to a fixed point of some contractive mappings.
Rashwan, R. A., Saddeek, A. M.
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Approximating the zeros of accretive operators by the Ishikawa iteration process
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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