Results 201 to 210 of about 953,111 (222)

Remark on stability of Ishikawa iterative procedures

Applied Mathematics and Mechanics, 2002
In this paper, the authors consider the stability of the two-step (Ishikawa) iterations for solving nonlinear equations in a Banach spaces. The results proved in this paper improve and refine the previously known results. Essentially using the technique developed in this paper, one can study the stability of the three-step iterations (known as Noor ...
Xue, Zhiqun, Tian, Hong
openaire   +2 more sources

Ishikawa Iterative Process in Uniformly Smooth Banach Spaces

Applied Mathematics and Mechanics, 2001
This article deals with Ishikawa approximations \[ x_{n+1}= (1-\alpha_n) x_n+ \alpha_nTy_n,\;y_n=(1-\beta_n)x_n+\beta_nTx_n\;(n=1,2,\dots) \] for a continuous \(\Phi\)-strongly pseudocontractive operator \(T:K\to K\) (this means that for the duality mapping \(J\) and a strictly increasing function \(\varphi:[0,\infty) \to[0 ,\infty)\), \(\varphi(0) =0\)
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Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings

Computers and Mathematics With Applications, 2005
In convex metric spaces, the Ishikawa iteration process and the Ishikawa iteration process with errors is defined for asymptotically quasi-nonexpansive mappings.
Tian, You-Xian
exaly   +2 more sources

Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings

Nonlinear Analysis: Theory, Methods & Applications, 1982
Es sei X eine beschränkte, abgeschlossene und konvexe Teilmenge eines Banachraumes E, und \(f:X\to X\) sei nichtexpansiv (d.h. \(\| f(x)- f(y)\| \leq x-y\|\) für alle x,y\(\in X)\). Es wird nach Fixpunkten von f und ihrer Berechnung gefragt. Nach Mann und Ishikawa wird eine Iterationsfolge \(\{x_ n\}\) auf folgende Weise gebildet: Es sei \(x_ 1\in X ...
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Convergence theorems of the sequence of Ishikawa iterates

2005
Summary: We study some open questions posed by \textit{S.\,A.\thinspace Naimpally} and \textit{K.\,L.\thinspace Singh} [J.~Math.\ Anal.\ Appl.\ 96, 437--446 (1982; Zbl 0524.47033)] and prove convergence theorems for the sequence of Ishikawa iterates for quasicontractive and Lipschitzian hemi-contractive mappings.
Dubey, R. P., Singh, N. K.
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Polynomiography for square systems of equations with Mann and Ishikawa iterations

2016
In this paper we propose to replace the standard Picard iteration in the Newton--Raphson method by Mann and Ishikawa iterations. This iteration's replacement influence the solution finding process that can be visualized as polynomiographs for the square systems of equations.
Gdawiec, Krzysztof, Kotarski, Wiesław, Lisowska, Agnieszka   +2 more
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Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration

International Journal of Applied and Computational Mathematics
V. Pragadeeswarar, R. Gopi, Choonki Park, Jung Rye Lee   +3 more
semanticscholar   +1 more source

Analysis of Jungck-Mann and Jungck-Ishikawa iteration schemes for their speed of convergence

, 2018
Naveen Kumar, S. S. Chauhan
semanticscholar   +1 more source

On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces

, 2009
N. Shahzad, H. Zegeye
semanticscholar   +1 more source

The Ishikawa Iteration

2007
openaire   +1 more source