Results 11 to 20 of about 380,543 (330)

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

open access: yesMathematics, 2021
This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line.
Vinay Kanwar   +6 more
doaj   +3 more sources

Some fixed point results for a new three steps iteration process in banach spaces [PDF]

open access: yes, 2017
In this paper, we introduce a three step iteration method and show that this method can be used to approximate fixed point of weak contraction mappings. Furthermore, we prove that this iteration method is equivalent to Mann iterative scheme and converges
Atalan, Yunus   +3 more
core   +2 more sources

Some fixed point iteration procedures

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
This paper provides a survey of iteration procedures that have been used to obtain fixed points for maps satisfying a variety of contractive conditions.
B. E. Rhoades
doaj   +2 more sources

On the solutions of three-point boundary value problems using variational-fixed point iteration method [PDF]

open access: yes, 2016
Given a three-point fourth-order boundary value problems y(iv) + p(x)y’’’ + r(x)y’ + s(x)y = f(x), a ≤ x ≤ b such that y(a) = y(b) = y’’(b) = y’’(α) = 0, a ≤ α ≤ b; where p, q, r, s, f ϵ C [a, b] , we combine the application of variational iteration ...
Kilicman, Adem   +3 more
core   +2 more sources

Stability of tripled fixed point iteration procedures for mixed monotone mappings

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2014
Recently, Berinde and Borcut [Berinde, V. and Borcut, M., Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (2011), 4889-4897] introduced the concept of tripled fixed point and by now, there
I. Timis
doaj   +2 more sources

Wavefit: an Iterative and Non-Autoregressive Neural Vocoder Based on Fixed-Point Iteration [PDF]

open access: yesSpoken Language Technology Workshop, 2022
Denoising diffusion probabilistic models (DDPMs) and generative adversarial networks (GANs) are popular generative models for neural vocoders. The DDPMs and GANs can be characterized by the iterative denoising framework and adversarial training ...
Yuma Koizumi   +3 more
semanticscholar   +1 more source

The Fixed Point Iteration of Positive Concave Mappings Converges Geometrically if a Fixed Point Exists: Implications to Wireless Systems [PDF]

open access: yesIEEE Transactions on Signal Processing, 2021
We prove that the fixed point iteration of arbitrary positive concave mappings with nonempty fixed point set converges geometrically for any starting point.
Tomasz Piotrowski, R. Cavalcante
semanticscholar   +1 more source

Variants of Julia and Mandelbrot sets as fractals via Jungck-Ishikawa fixed point iteration system with $ s $-convexity

open access: yesAIMS Mathematics, 2022
In this paper, we generate some non-classical variants of Julia and Mandelbrot sets, utilizing the Jungck-Ishikawa fixed point iteration system equipped with $ s $-convexity.
Swati Antal   +3 more
semanticscholar   +1 more source

Convergence analysis of fixed-point iteration with Anderson Acceleration on a simplified neutronics/thermal-hydraulics system

open access: yesNuclear Engineering and Technology, 2021
In-depth convergence analyses for neutronics/thermal-hydraulics (T/H) coupled calculations are performed to investigate the performance of nonlinear methods based on the Fixed-Point Iteration (FPI).
Jaejin Lee, H. Joo
semanticscholar   +1 more source

Fixed point approximation under Mann iteration beyond Ishikawa [PDF]

open access: yes, 2020
summary:Consider the Mann iteration $x_{n+1} = ( 1 - \alpha_n ) x_n + \alpha_n Tx_n$ for a nonexpansive mapping $T\colon K \to K$ defined on some subset $K$ of the normed space $X$.
Hester, Anthony, Morales, Claudio H.
core   +1 more source

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