Results 171 to 180 of about 269,682 (199)

The Mann-Ishikawa Iterations and the Mann-Ishikawa Iterations With Errors Are Equivalent Models Dealing With a Non-Lipschitzian Map

Revue d'analyse numérique et de théorie de l'approximation, 2005
The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.
Stefan M Soltuz, B E Rhoades
exaly   +4 more sources

Some of the next articles are maybe not open access.

Related searches:

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.
Rhoades, B. E., Soltuz, Stefan M.
openaire   +2 more sources

Convergence of Ishikawa’s iteration method for pseudocontractive mappings

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zegeye, Habtu, Shahzad, Naseer, Alghamdi, Mohammad A.   +2 more
openaire   +1 more source

The Equivalence Between the T-Stabilities of Modified Mann-Ishikawa and Mann-Ishikawa Iterations

Revue d'analyse numérique et de théorie de l'approximation, 2006
We show that all \(T\)-stabilities of Mann-Ishikawa iterations and modified Mann-Ishikawa iterations are equivalent.
Stefan M Soltuz
exaly   +4 more sources

Random Ishikawa Iterative Sequence with Applications

Stochastic Analysis and Applications, 2005
The purpose of this paper is to construct a random Ishikawa iterative sequence for random strongly pseudo-contractive operator T in separable Banach spaces and to study that under suitable conditions this random iterative sequence converges to a random fixed point to T.
S.S. Chang, Y.J. Cho, J.K. Kim, H.Y. Zhou   +3 more
openaire   +1 more source

Fractals via Ishikawa Iteration

2011
Fractal geometry is an exciting area of interest with diverse applications in various disciplines of engineering and applied sciences. There is a plethora of papers on its versatility in the literature. The basic aim of this paper is to study the pattern of attractors of the iterated function systems (IFS) through Ishikawa iterative scheme.
Bhagwati Prasad, Kuldip Katiyar
openaire   +1 more source

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

A-STATISTICAL CONVERGENCE OF ISHIKAWA ITERATIONS

Journal of Mathematical Analysis
We study Ishikawa iterations in the framework of A-statistical convergence. For continuous mappings on closed, convex, bounded subsets of Banach spaces, we prove that if {αn}∞n=1 and {βn}∞n=1 satisfy appropriate A-statistical conditions and either iteration sequence converges A-statistically to p, then both converge A-statistically to p and T(p) = p ...
SAMI M. HAMID, RICHARD F. PATTERSON
openaire   +1 more source

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 \(\varphi:[0,\infty) \to[0 ,\infty)\), \(\varphi(0) =0\)
openaire   +1 more source

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 ...
openaire   +2 more sources