Results 1 to 10 of about 1,168,012 (202)
The Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets [PDF]
Monatshefte Fur Mathematik, 2021 In recent years, researchers have studied the use of different iteration processes from fixed point theory in the generation of complex fractals. For instance, the Mann, Ishikawa, Noor, Jungck–Mann and Jungck–Ishikawa iterations have been used.
Abdul Aziz Shahid +2 more
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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
doaj +4 more sources
On the robust Newton’s method with the Mann iteration and the artistic patterns from its dynamics [PDF]
Nonlinear Dynamics, 2021 There are two main aims of this paper. The first one is to show some improvement of the robust Newton’s method (RNM) introduced recently by Kalantari. The RNM is a generalisation of the well-known Newton’s root finding method.
Krzysztof Gdawiec +2 more
exaly +3 more sources
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.
Ş. Măruşter, L. Măruşter
semanticscholar +5 more sources
Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations. [PDF]
J Inequal Appl, 2018 In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Uddin I, Garodia C, Nieto JJ.
europepmc +4 more sources
A note on the error estimation of the Mann iteration
Journal of Computational and Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chao Wang
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On the quaternion Julia sets via Picard–Mann iteration
Nonlinear Dynamics, 2023 In recent years, an extensive study on the use of various iteration schemes from fixed point theory for the generation of Mandelbrot and Julia sets in complex space has been carried out. In this work, inspired by these progresses, we study the use of the
Krzysztof Gdawiec +2 more
exaly +2 more sources
Quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration [PDF]
Optimization Methods and Software, 2021 In this paper, we compute quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration in W-hyperbolic spaces. This iteration is an extension to a nonlinear setting of the modified Mann iteration defined recently by Boţ, Csetnek and Meier in ...
Horatiu Cheval, Laurentiu Leustean
semanticscholar +3 more sources
ON THE CONVERGENCE RATE OF THE KRASNOSEL’SKIĬ–MANN ITERATION [PDF]
Bulletin of the Australian Mathematical Society, 2017 The Krasnosel’skiĭ–Mann (KM) iteration is a widely used method to solve fixed point problems. This paper investigates the convergence rate for the KM iteration. We first establish a new convergence rate for the KM iteration which improves the known big-
S. Matsushita
semanticscholar +3 more sources
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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