Results 131 to 140 of about 582 (150)

The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map

Journal of Mathematical Analysis and Applications, 2003
The convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive ...
B E Rhoades, Stefan M Soltuz
exaly   +2 more sources

Polynomiography via Ishikawa and Mann Iterations [PDF]

Lecture Notes in Computer Science, 2012
The aim of this paper is to present some modifications of complex polynomial roots finding visualization process. In this paper Ishikawa or Mann iterations are used instead of the standard Picard iteration.
W Kotarski, Krzysztof Gdawiec, Agnieszka Lisowska   +2 more
exaly   +2 more sources

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The equivalence between Mann–Ishikawa iterations and multistep iteration

Nonlinear Analysis: Theory, Methods & Applications, 2004
In this interesting paper, the authors consider the equivalence between the one-step, two-step, three-step and multistep-iteration process for solving the nonlinear operator equations \(Tu = 0\) in a Banach space for pseudocontractive operators \(T\). It is worth mentioning that three-step iterative schemes were introduced by \textit{M. A.
B E Rhoades, Stefan M Soltuz
exaly   +3 more sources

Equivalence theorems of the convergence between Ishikawa and Mann iterations with errors for generalized strongly successively Φ-pseudocontractive mappings without Lipschitzian assumptions

Journal of Mathematical Analysis and Applications, 2007
In this paper, the equivalence of the strong convergence between the modified Mann and Ishikawa iterations with errors in two different schemes by Xu [Y.G.
Zhenyu Huang
exaly   +2 more sources

Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao-Li Dong, Songnian He, Dong Qiao-Li   +2 more
exaly   +3 more sources

The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps

Journal of Mathematical Analysis and Applications, 2004
The convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive ...
B E Rhoades, Stefan M Soltuz
exaly   +2 more sources

On the equivalence of the convergence criteria between modified Mann–Ishikawa and multi-step iterations with errors for successively strongly pseudo-contractive operators

Applied Mathematics and Computation, 2006
The authors prove the equivalence of the convergence between the modified Mann- Ishikawa and multi-step Noor iterations with errors for the successively strongly pseudo-contractive operators without Lipschitzian assumption. By extending to the more generalized multi-step iterations with errors, the results obtained in this paper generalize the results ...
Zhenyu Huang, Muhammad Aslam Noor
exaly   +3 more sources

The equivalence between the convergence of Ishikawa and Mann iterations with errors for strongly successively pseudocontractive mappings without Lipschitzian assumption

Journal of Mathematical Analysis and Applications, 2007
In this paper we prove some new equivalences between convergence of the Ishikawa and Mann iteration sequences with errors in two schemes by Xu [Y.G. Xu, Ishikawa and Mann iteration process with errors for nonlinear strongly accretive operator equations ...
Zhenyu Huang
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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A remark on my paper “convergence of the Mann-Ishikawa iterative process for nonexpansive mappings”

Nonlinear Analysis: Theory, Methods & Applications, 1983
An assumption of the paper named in the title [ibid. 6, 1135-1141 (1982; Zbl 0564.47025)] is weakened.
openaire   +3 more sources