Results 21 to 30 of about 3,362 (237)
Some results on T-stability of Picard’s iteration [PDF]
SpringerPlus, 2016 We prove the existence and uniqueness of fixed points of T-stability for an iteration on partial cone metric space of Zamfirescu contraction. As an application, we prove a theorem for integral equation. We also give illustrative examples to verify our results.
Thokchom Chhatrajit, Yumnam Rohen
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Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
Journal of Mathematics, 2016 This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab +3 more
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Mathematics, 2021 Fractional stochastic differential equations are still in their infancy. Based on some existing results, the main difficulties here are how to deal with those equations if the fractional order is varying with time and how to confirm the existence of ...
Seyfeddine Moualkia, Yong Xu
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A note on Picard iterates of nonexpansive mappings [PDF]
Annales Polonici Mathematici, 2001 Summary: Let \(X\) be a Banach space, \(C\) a closed subset of \(X\), and \(T:C\rightarrow C\) a nonexpansive mapping. It has recently been shown that if \(X\) is reflexive and locally uniformly convex and if the fixed point set \(F(T)\) of \(T\) has nonempty interior then the Picard iterates of the mapping \(T\) always converge to a point of \(F(T)\).
Kim, Eun Suk, Kirk, W. A.
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Finite Element Simulation of Thermo-Mechanical Model with Phase Change
Computation, 2021 In this work, we consider a mathematical model and finite element implementation of heat transfer and mechanics of soils with phase change. We present the construction of the simplified mathematical model based on the definition of water and ice fraction
Maria Vasilyeva +2 more
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Generation of Antifractals via Hybrid Picard-Mann Iteration [PDF]
IEEE Access, 2020 El objetivo de este artículo es generar antifractales utilizando algoritmos iterativos de punto fijo, es decir, nuestro objetivo es generar conjuntos anti Julia, tricornios y multicornios para el antipolinomio → z z k +c del polinomio complejo z k +c, para k ≥ 2. Un procedimiento iterativo híbrido de Picard-Mann utilizado para establecer el criterio de
Wei Wang 0256 +3 more
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Valiron, Nevanlinna and Picard exceptional sets of iterations of rational functions
, 2005 For every rational function of degree more than one, there exists a transcendental meromorphic solution of the Schröder equation. By Yanagihara and Eremenko-Sodin, it is known that the Valiron, Nevanlinna and Picard exceptional sets of this solution are ...
Okuyama, Yûsuke
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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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Remarks on Picard-Lindelöf iteration
BIT, 1989 The paper discusses Picard-Lindelof iteration for systems of autonomous linear equations on finite intervals, as well as its numerical variants. Most of the discussion is under a model assumption which roughly says that the coupling terms are of moderate size compared with the slow time scales in the problem.
Ulla Miekkala, Olavi Nevanlinna
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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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