Results 21 to 30 of about 55,994 (213)
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 [...]
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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 +3 more
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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.
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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
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A polynomially accelerated fixed-point iteration for vector problems [PDF]
E-Journal of Analysis and Applied MathematicsFixed-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
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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 +2 more
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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
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The Fixed Point Property of Strong Pseudocontraction 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
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Mathematics, 2022 This work proposes the Enhanced Fixed Point Method (EFPM) as a straightforward modification to the problem of finding an exact or approximate solution for a linear or nonlinear algebraic equation.
Uriel Filobello-Nino +6 more
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