Results 1 to 10 of about 2,172 (231)
Estimating the Local Radius of Convergence for Picard Iteration [PDF]
Algorithms, 2017 In this paper, we propose an algorithm to estimate the radius of convergence for the Picard iteration in the setting of a real Hilbert space. Numerical experiments show that the proposed algorithm provides convergence balls close to or even identical to ...
Laura Măruşter
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On Picard–Krasnoselskii Hybrid Iteration Process in Banach Spaces
Journal of Mathematics, 2020 In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process.
Thabet Abdeljawad +2 more
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Picard iteration methods for a spherical atmosphere
Journal of Quantitative Spectroscopy and Radiative Transfer, 2009 Several methods for solving the radiative transfer equation in a spherical atmosphere are presented. These methods include the long characteristic Picard iteration, and the conventional and the accelerated short characteristic Picard iteration ...
Doicu, Adrian, Trautmann, Thomas
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Fractal and FractionalFractals are a common characteristic of many artificial and natural networks having topological patterns of a self-similar nature. For example, the Mandelbrot set has been investigated and extended in several ways since it was first introduced, whereas ...
Rekha Srivastava +2 more
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Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators [PDF]
Mathematica Bohemica, 2019 We study some qualitative features like convergence, stability and data dependency for Picard-S iteration method of a quasi-strictly contractive operator under weaker conditions imposed on parametric sequences in the mentioned method. We compare the rate
Müzeyyen Ertürk, Faik Gürsoy
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On T-Stability of Picard Iteration in Cone Metric Spaces [PDF]
Fixed Point Theory and Applications, 2009 The aim of this work is to investigate the T-stability of Picard's iteration procedures in cone metric spaces and give an application.
B. E. Rhoades +3 more
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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 Picard–Mann iteration with s-convexity in the generation of Mandelbrot and Julia sets [PDF]
Monatshefte Fur Mathematik, 2021 In recent years, researchers have studied the use of different iteration processes from fixed point theory in the generation of complex fractals. For instance, the Mann, Ishikawa, Noor, Jungck–Mann and Jungck–Ishikawa iterations have been used.
Abdul Aziz Shahid +2 more
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On T-Stability of the Picard Iteration for Generalized φ-Contraction Mappings [PDF]
Abstract and Applied Analysis, 2012 We introduce some results on T-stability of the Picard iteration for φ-contraction and generalized φ-contraction mappings on metric spaces.
R. H. Haghi, M. Postolache, Sh. Rezapour
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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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