Results 21 to 30 of about 1,168,012 (202)
Journal of Numerical Analysis and Approximation Theory, 2005 We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies minimal assumptions. In particular we obtain for a nonexpansive operator that the associated sequence of Ishikawa iteration is ...
Ştefan M. Şoltuz
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Local convergence radius for the Mann-type iteration
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 A procedure to estimate the local convergence radius for a Mann-type iteration is given in the setting of a finite dimensional space. In particular we obtain the estimation of radius for classical Newton method.
Măruşter Ştefan
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International Journal of Mathematics and Mathematical Sciences, 2004 We show that the Ishikawa iteration and the corresponding Mann iteration are equivalent when applied to ψ-uniformly pseudocontractive or ψ-uniformly accretive maps.
B. E. Rhoades, Ştefan M. Şoltuz
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Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
Journal of Mathematical Analysis and Applications, 2013 Let (M,d) be a complete 2-uniformly convex metric space. Let C be a nonempty, bounded, closed, and convex subset of M, and let T:C→C be an asymptotic pointwise nonexpansive mapping. In this paper, we prove that the modified Mann iteration process defined
Mohamed A Khamsi
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Journal of Mathematics, 2022 Mann iteration is weakly convergent in infinite dimensional spaces. We, in this paper, use the nearest point projection to force the strong convergence of a Mann-based iteration for nonexpansive and monotone operators.
Songtao Lv
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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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The alternating Halpern-Mann iteration for families of maps
Journal of Computational and Applied MathematicsWe generalize the alternating Halpern-Mann iteration to countably infinite families of nonexpansive maps and prove its strong convergence towards a common fixed point in the general nonlinear setting of Hadamard spaces. Our approach is based on a quantitative perspective which allowed to circumvent prevalent troublesome arguments and in the end provide
Paulo Firmino, Pedro Pinto 0003
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Fibonacci-Mann Iteration for Monotone Asymptotically Nonexpansive Mappings in Modular Spaces
Symmetry, 2018 In this work, we extend the fundamental results of Schu to the class of monotone asymptotically nonexpansive mappings in modular function spaces. In particular, we study the behavior of the Fibonacci–Mann iteration process, introduced recently by ...
B. B. Dehaish, M. Khamsi
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Mann iteration with power means
Journal of Difference Equations and Applications, 2015 We analyse the recurrence , where is a weighted power mean of , which has been proposed to model a class of non-linear forward-looking economic models with bounded rationality.
G. Bischi, F. Cavalli, A. Naimzada
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The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We investigate the equivalence between the convergences of the Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces.
Zeqing Liu +3 more
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