Results 11 to 20 of about 166,516 (140)
Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps [PDF]
Fixed Point Theory and Applications, 2010 We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators.
Xue Zhiqun, Rhoades BE
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Recurrent Inequalities and Some of their Applications to Picard and Mann Iterations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 Two lemmas concerning the superior bound of a numerical sequence satisfying a common recurrence inequality are given. As applications, the error estimations are obtained for the Picard and Mann iterations in the case of demicontractive mappings ...
Berinde Vasile, Măruşter Ştefan
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A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations" [PDF]
Journal of Numerical Analysis and Approximation Theory, 2004 In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
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PROOF OF FUNCTIONAL SMARANDACHE ITERATIONS [PDF]
, 1995 The paper makes use of method of Mathematics Analytic to prove Functional Smarandache Iterations of three ...
ZHENG, JIANFENG
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The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations
Fixed Point Theory and Applications, 2007 We prove the equivalence between the T-stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence with the T-stability of the Picard-Banach iteration.
Ştefan M. Şoltuz
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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
Fixed Point Theory and Applications, 2007 We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).
Xue Zhiqun
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Engineering Proceedings, 2023 Artificial neural networks with different structures are used for identification of complex dynamic plant with distributed parameters. The plant is a high-temperature plasma in the spherical Globus-M2 tokamak.
Valerii I. Kruzhkov +2 more
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Assessing the benefits of approximately exact step sizes for Picard and Newton solver in simulating ice flow (FEniCS-full-Stokes v.1.3.2) [PDF]
Geoscientific Model DevelopmentSolving the momentum balance is the computationally expensive part of simulating the evolution of ice sheets. The momentum balance is described by the nonlinear full-Stokes equations, which are solved iteratively. We use the Picard iteration and Newton's
N. Schmidt +4 more
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Mathematics, 2023 In this paper, we present a study on mean square approximate controllability and finite-dimensional mean exact controllability for the system governed by linear/semilinear infinite-dimensional stochastic evolution equations.
Nazim I. Mahmudov
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Advanced Science, EarlyView.Sepsis disrupts immune‐cell rhythms and weakens bacterial clearance. Biomimetic nanovesicles combining erythrocyte and inflammation‐activated macrophage membranes deliver siNR1D1 to dysfunctional macrophages, restoring the NR1D1–IGF2BP2–V‐ATPase pathway, circadian regulation, phagolysosomal acidification, and antimicrobial defense.
Lang Chen +13 more
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