[HTML][HTML] On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval

W Phuengrattana, S Suantai - Journal of computational and Applied …, 2011 - Elsevier
In this paper, we propose a new iteration, called the SP-iteration, for approximating a fixed
point of continuous functions on an arbitrary interval. Then, a necessary and sufficient …

A Picard-S hybrid type iteration method for solving a differential equation with retarded argument

F Gürsoy, V Karakaya - arXiv preprint arXiv:1403.2546, 2014 - arxiv.org
We introduce a new iteration method called Picard-S iteration. We show that the Picard-S
iteration method can be used to approximate fixed point of contraction mappings. Also, we …

Convergence analysis of the Picard–Ishikawa hybrid iterative process with applications

GA Okeke - Afrika Matematika, 2019 - Springer
The purpose of this paper is to introduce the Picard–Ishikawa hybrid iterative process. This
new iterative process can be seen as a hybrid of Picard and Ishikawa iterative processes. It …

A solution of delay differential equations via Picard–Krasnoselskii hybrid iterative process

GA Okeke, M Abbas - Arabian Journal of Mathematics, 2017 - Springer
The purpose of this paper is to introduce Picard–Krasnoselskii hybrid iterative process which
is a hybrid of Picard and Krasnoselskii iterative processes. In case of contractive nonlinear …

[HTML][HTML] A novel Ishikawa–Green's fixed point scheme for the solution of BVPs

SA Khuri, I Louhichi - Applied Mathematics Letters, 2018 - Elsevier
In this article, a new numerical approach is introduced for the numerical solution of a wide
class of boundary value problems (BVPs). The underlying strategy of the algorithm is based …

Strong convergence of a new hybrid iterative scheme for nonexpensive mappings and applications

J Jia, K Shabbir, K Ahmad, NA Shah… - Journal of Function …, 2022 - Wiley Online Library
In the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of
Picard and Thakur et al. repetitive schemes. This new hybrid iterative scheme converges …

[PDF][PDF] New Julia sets of Ishikawa iterates

YS Chauhan, R Rana, A Negi - Int. J. Comput. Appl, 2010 - academia.edu
New Julia Sets of Ishikawa Iterates Page 1 International Journal of Computer Applications (0975
– 8887) Volume 7– No.13, October 2010 34 New Julia Sets of Ishikawa Iterates Yashwant S …

[PDF][PDF] Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators

O Popescu - Mathematical Communications, 2007 - hrcak.srce.hr
Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
Page 1 Mathematical Communications 12(2007), 195-202 195 Picard iteration converges …

On rate of convergence of various iterative schemes

N Hussain, A Rafiq, B Damjanović… - Fixed Point Theory and …, 2011 - Springer
On rate of convergence of various iterative schemes | Fixed Point Theory and Algorithms for
Sciences and Engineering Skip to main content SpringerLink Account Menu Find a journal …

[PDF][PDF] The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces

Z Xue - Fixed Point Theory and Applications, 2008 - emis.dsd.sztaki.hu
Let E be a real Banach space, D a closed convex subset of E, and T: D→ D a self-map. Let
p0, v0, u0, x0∈ D be arbitrary. The sequence {pn}∞ n 0⊂ D defined by pn 1 Tpn, n≥ 0, 1.1 …