Results 241 to 250 of about 505,478 (275)
Applied Mathematics Letters, 2003 The author, extending his own results [\textit{B. S. Choudhury} and \textit{M. Ray}, J. Appl. Math. Stochastic Anal. 12, 161--168 (1999; Zbl 0930.47031) and \textit{B. S. Choudhury} and \textit{A. Upadhyay}, Soochow J. Math. 25, 395--400 (1999; Zbl 0946.47046)], introduces a random fixed point iteration that is a random Mann iteration scheme and shows ...
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Quadratic Rates of Asymptotic Regularity for the Tikhonov–Mann Iteration
Optimization Methods and Software, 2022 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 Bot, Csetnek and Meier in Hilbert spaces.
Laurentiu Leuştean
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Realization of the Hybrid Method for Mann Iterations
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Songnian He
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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
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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.
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The equivalence between Mann–Ishikawa iterations and multistep iteration
Nonlinear Analysis: Theory, Methods & Applications, 2004In this interesting paper, the authors consider the equivalence between the one-step, two-step, three-step and multistep-iteration process for solving the nonlinear operator equations \(Tu = 0\) in a Banach space for pseudocontractive operators \(T\). It is worth mentioning that three-step iterative schemes were introduced by \textit{M. A.
Rhoades, B. E., Soltuz, Stefan M.
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New Acceleration Factors of the Krasnosel’skiĭ-Mann Iteration
Results in Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunda Dong, Mengdi Sun
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Mann iteration with power means
Journal of Difference Equations and Applications, 2015We analyse the recurrence xn+1=f(zn), where zn is a weighted power mean of x0,…,xn, which has been proposed to model a class of non-linear forward-looking economic models with bounded rationality. Under suitable hypotheses on weights, we prove the convergence of the sequence xn.
Bischi, G. I. +2 more
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Stability of Mann’s iterates under metric regularity
Applied Mathematics and Computation, 2009This article deals with a Mann-like algorithm for solving the inclusion \[ x \in T(x)\eqno(1) \] where \(T: X \rightrightarrows X\) is a set-valued mapping defined from a Banach space \(X\) into itself. Approximate solutions to (1) are defined by \[ 0 \in \frac1{\lambda_n}(x_n - x_{n+1}) - x_n + T(x_{n+1}), \quad n = 0,1,2,\dots, \] where \(\lambda_n\)
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New inertial factors of the Krasnosel’skiı̆-Mann iteration
Set-Valued and Variational Analysis, 2020The author considers inertial Krasnosel'skiǐ-Mann fixed point iterative schemes for nonexpansive operators in real Hilbert spaces. For these algorithms, he provides some new conditions on the inertial factors that ensure weak convergence and depend only on the iteration coefficients.
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