Results 21 to 30 of about 560,761 (277)

Fixed point Ishikawa iterations

Journal of Mathematical Analysis and Applications, 1992
If \(J\) is the closed unit inverval, with \(T\) a selfmap of \(J\), the Ishikawa iterates of \(T\) are defined by \(u_{n+1}=[(1-\alpha_ n)u_ n+\alpha_ nT[(1-\beta_ n)u_ n+b_ n Tu_ n]]\) with \(u_ 0\in J\) and \(\{\alpha_ n\}\), \(\{\beta_ n\}\) satisfying the three conditions \[ \text{(a)} \quad 0\leq \alpha_ n\leq \beta_ n\leq 1, \qquad \text{(b ...
Kalinde, Albert K, Rhoades, B.E
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Abstract Fixed-Point Theorems and Fixed-Point Iterative Schemes

Symmetry, 2022
Mathematical methods are extensively used in dealing with simulation and approximation problems related to computer science, engineering, physics, and many others [...]
openaire   +1 more source

Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces

Journal of Mathematics, 2016
This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab, R. O. Olawuyi, K. Rauf, I. F. Usamot   +3 more
doaj   +1 more source

Fixed Points by Mean Value Iterations [PDF]

Proceedings of the American Mathematical Society, 1972
If E is a convex compact subset of a Hilbert space, T is a strictly pseudocontractive function from E into E and x1 is a point in E, then the point sequence {xi})', converges to a fixed point of T, where for each positive integer n, Xn+1 = [11(n + 1)][Tx. + nxj.l In this paper it is shown that a technique of W. R.
openaire   +1 more source

On the Rate of Convergence of P-Iteration, SP-Iteration, and D-Iteration Methods for Continuous Nondecreasing Functions on Closed Intervals

Abstract and Applied Analysis, 2018
We introduce a new iterative method called D-iteration to approximate a fixed point of continuous nondecreasing functions on arbitrary closed intervals. The purpose is to improve the rate of convergence compared to previous work.
Jukkrit Daengsaen, Anchalee Khemphet
doaj   +1 more source

A polynomially accelerated fixed-point iteration for vector problems [PDF]

E-Journal of Analysis and Applied Mathematics
Fixed-point solvers are ubiquitous in nonlinear PDEs, yet their progress collapses whenever the Jacobian at the solution carries an eigenvalue arbitrarily close to one.
Francesco Alemanno
doaj   +1 more source

A generalization of some fixed point theorems of K. M. Ghosh

International Journal of Mathematics and Mathematical Sciences, 1982
This note establishes the following result. Let T be a selfmap of a normed linear space E.
B. E. Rhoades
doaj   +1 more source

The Fixed Point Property of Strong Pseudocontraction Mapping

Journal of Harbin University of Science and Technology, 2020
In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given.
CUI Yunan, ZHU Peng, WANG Ping
doaj   +1 more source

A Design Methodology for the Seismic Retrofitting of Existing Frame Structures Post-Earthquake Incident Using Nonlinear Control Systems

Buildings, 2022
A structural design methodology for retrofitting weakened frame systems following earthquakes is developed and presented. The design procedure refers to frame systems in their degraded strength and stiffness states and restores their dynamic performance ...
Assaf Shmerling, Matthias Gerdts
doaj   +1 more source

Adjoints Of Fixed-Point Iterations

, 2014
Adjoint algorithms, and in particular those obtained through the adjoint mode of Automatic Differentiation (AD), are probably the most efficient way to obtain the gradient of a numerical simulation. This however needs to use the ow of data of the original simulation in reverse order, at a cost that increases with the length of the simulation.
Taftaf, Ala, Pascual, Valérie, Hascoët, Laurent   +2 more
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