Results 41 to 50 of about 1,168,012 (202)
The equivalence between Mann and implicit Mann iterations [PDF]
Journal of Mathematical Inequalities, 2007 We shall prove the equivalence bewteen the convergences of Mann and implicit Mann iterations dealing with various classes of non-Lipschitzian operators.
B. E. Rhoades, Ştefan M. Şoltuz
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Solution of nonlinear equations using Mann iteration [PDF]
, 2014 In this paper, we recall some basic concepts, properties of the spaces and some types of iteration approaches. Also, we give algorithm - fixed point iteration scheme and examples.
core +1 more source
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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Stability And Data Dependence Results For The Mann Iteration Schemes on n-Banach Space
Iraqi Journal of Science, 2020 Let be an n-Banach space, M be a nonempty closed convex subset of , and S:M→M be a mapping that belongs to the class mapping. The purpose of this paper is to study the stability and data dependence results of a Mann iteration scheme on n-Banach ...
M. M. Hamed, Z. Z. Jamil
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On the Convergence of Discrete-Time Linear Systems: A Linear Time-Varying Mann Iteration Converges IFF Its Operator Is Strictly Pseudocontractive [PDF]
IEEE Control Systems Letters, 2018 We adopt an operator-theoretic perspective to study convergence of linear fixed-point iterations and discrete-time linear systems. We mainly focus on the so-called Krasnoselskij–Mann iteration, ${x}$ ( $k + 1$ ) = ( $1-\alpha _{k}$ ) ${x}$ ( ${k}$ ) +
Giuseppe Belgioioso +3 more
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A New Iterative Scheme of Modified Mann Iteration in Banach Space [PDF]
Abstract and Applied Analysis, 2014 We introduce the modified iterations of Mann's type for nonexpansive mappings and asymptotically nonexpansive mappings to have the strong convergence in a uniformly convex Banach space. We study approximation of common fixed point of asymptotically nonexpansive mappings in Banach space by using a new iterative scheme.
Jinzuo Chen, Dingping Wu, Caifen Zhang
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Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
Fixed Point Theory and Applications, 2004 In the class of quasi-contractive operators satisfying Zamfirescu's conditions, the most used fixed point iterative methods, that is, the Picard, Mann, and Ishikawa iterations, are all known to be convergent to the unique fixed point. In this paper, the
Berinde Vasile
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Fixed point approximation under Mann iteration beyond Ishikawa
Commentationes Mathematicae Universitatis Carolinae, 2020 . Consider the Mann iteration x n +1 = (1 − α n ) x n + α n Tx n for a nonex-pansive mapping T : K → K defined on some subset K of the normed space X .
Hester Anthony, Morales Claudio H.
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Polynomiography via Ishikawa and Mann Iterations [PDF]
, 2012 The aim of this paper is to present some modifications of the complex polynomial roots finding visualization process. In this paper Ishikawa and Mann iterations are used instead of the standard Picard iteration. The name polynomiography was introduced by Kalantari for that visualization process and the obtained images are called polynomiographs ...
Wieslaw Kotarski +2 more
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On the error estimation and T-stability of the Mann iteration [PDF]
Journal of Computational and Applied Mathematics, 2015 A formula of error estimation of Mann iteration is given in the case of strongly demicontractive mappings. Based on this estimation, a condition of strong convergence is obtained for the same class of mappings.
L. Măruşter, Ş. Măruşter
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