Results 11 to 20 of about 8,281 (252)
Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
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 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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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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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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Local convergence of generalized Mann iteration [PDF]
Numerical Algorithms, 2017 The article deals with generalized Mann iterations \[ x_{n+1} = (I - D_n)x_n + D_nT(x_n), \qquad n = 0,1,2,\ldots,\eqno(1) \] for the approximative construction of fixed points of a nonlinear operator \(T:\;C \to H\), where \(H\) is a real Hilbert space, \(C\) an open subset of \(H\), \(\{D_n\} \subset L(H)\) is a generalized control sequence.
Maruster, St., Maruster, L.
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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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Convergence theorems of modified Mann iterations [PDF]
Fixed Point Theory and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jinzuo, Wu, Dingping
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Generation of Antifractals via Hybrid Picard-Mann Iteration
IEEE Access, 2020 The aim of this paper is to generate antifractals using fixed point iterative algorithms, i.e., we aim to generate anti Julia sets, tricorns and multicorns for the anti-polynomial z → z̅k +c of the complex polynomial zk +c, for k ≥ 2.
Wei Wang +3 more
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Weak Convergence of Two Iteration Schemes in Banach Spaces [PDF]
Engineering and Technology Journal, 2019 In this paper, we established weak convergence theorems by using appropriate conditions for approximating common fixed points and equivalence between the convergence of the Picard-Mann iteration scheme and Liu et al iteration scheme in Banach spaces.
Salwa Abed, Zahraa Mohamed Hasan
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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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