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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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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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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.
openaire +3 more sources
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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Strongly Convergence of Two Iterations For a Common Fixed Point with an Application
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this paper, we study some cases of a common fixed point theorem for classes of firmly nonexpansive and generalized nonexpansive maps. In addition, we establish that the Picard-Mann iteration is faster than Noor iteration and we used Noor ...
Zahra Mahmood Mohamed Hasan +1 more
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Sharp estimation of local convergence radius for the Picard iteration [PDF]
, 2018 We investigate the local convergence radius of a general Picard iteration in the frame of a real Hilbert space. We propose a new algorithm to estimate the local convergence radius.
Maruster, Stefan +4 more
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A fixed point theorem involving rational expressions without using Picard iteration
Topological Algebra and its Applications, 2021 In this paper, we consider a certain fixed point theorem that contains some rational expressions. The main aim of this paper is to prove a fixed point theorem without using the Picard iteration.
Fulga Andreea
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Using the unstable manifold correction in a Picard iteration to solve the velocity field in higher-order ice-flow models [PDF]
, 2010 We address the usefulness of the unstable manifold correction (UMC) in a Picard iteration for the solution of the velocity field in higher-order ice-flow models. We explain under-and overshooting and how one can remedy them. We then discuss the rationale
Pattyn, Frank +5 more
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