Results 21 to 30 of about 1,452 (183)
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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On C-To-R-Based Iteration Methods for a Class of Complex Symmetric Weakly Nonlinear Equations
Mathematics, 2020 To avoid solving the complex systems, we first rewrite the complex-valued nonlinear system to real-valued form (C-to-R) equivalently. Then, based on separable property of the linear and the nonlinear terms, we present a C-to-R-based Picard iteration ...
Min-Li Zeng, Guo-Feng Zhang
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Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces
Open Mathematics, 2021 We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid +4 more
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Picard Iterations for Diffusions on Symmetric Matrices [PDF]
Journal of Theoretical Probability, 2015 Matrix-valued stochastic processes have been of significant importance in areas such as physics, engineering and mathematical finance. One of the first models studied has been the so-called Wishart process, which is described as the solution of a stochastic differential equation in the space of matrices.
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Journal of Mathematics, 2021 Charles proved the convergence of Picard-type iteration for generalized Φ−accretive nonself-mappings in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ−quasi-accretive mappings and fixed points of strongly Φ−hemi ...
Linxin Li, Dingping Wu
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Parallel solution of Lambert’s problem using modified Chebyshev-Picard iteration method
Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 2022 Lambert’s problem is one of the classical methods for solving the multiple revolution problem in orbit determination. With the increasing interest in space exploration programs and using satellite networks, it is important to provide an accurate and ...
Majd Ajroudi, Fahreddin Şükrü Torun
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The Modified Picard Iteration Method for Solving the Moving Boundary Problems with a Dissolution Term Encountered in the Drug Release Systems [PDF]
Chemical Process DesignThe primary goal of this work is to develop an accurate analytical solution for the moving boundary problems with a dissolution term encountered in drug release from nanoporous structures.
Mahmoodreza Rahimi +1 more
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Journal of Function Spaces, 2019 In order to solve (partial) differential equations, implicit midpoint rules are often employed as a powerful numerical method. The purpose of this paper is to introduce and study a class of new Picard-Mann iteration processes with mixed errors for the ...
Teng-fei Li, Heng-you Lan
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Boundary Value Problems, 2017 In this paper, we introduce and study a class of new Picard-Mann iterative methods with mixed errors for common fixed points of two different nonexpansive and contraction operators.
Teng-fei Li, Heng-you Lan
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