Results 31 to 40 of about 8,281 (252)

On the boundedness of the associated sequence of Mann iteration for several operator classes with applications

Journal of Numerical Analysis and Approximation Theory, 2005
We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies minimal assumptions. In particular we obtain for a nonexpansive operator that the associated sequence of Ishikawa iteration is ...
Ştefan M. Şoltuz
doaj   +2 more sources

Mann-Iteration Process for Power Flow Calculation of Large-Scale Ill-Conditioned Systems: Theoretical Analysis and Numerical Results

IEEE Access, 2021
Power Flow solution of realistic ill-conditioned systems has recently attracted huge attention. Nevertheless, there are still some gaps in this field.
Marcos Tostado-Veliz, Hany M. Hasanien, Rania A. Turky, Abdulaziz Alkuhayli, Salah Kamel, Francisco Jurado   +5 more
doaj   +1 more source

Polynomiography via Ishikawa and Mann Iterations [PDF]

, 2012
The aim of this paper is to present some modifications of the complex polynomial roots finding visualization process. In this paper Ishikawa and Mann iterations are used instead of the standard Picard iteration. The name polynomiography was introduced by Kalantari for that visualization process and the obtained images are called polynomiographs ...
Kotarski, Wiesław, Gdawiec, Krzysztof, Lisowska, Agnieszka   +2 more
openaire   +3 more sources

Predicting Epileptogenic Tubers in Patients With Tuberous Sclerosis Complex Using a Fusion Model Integrating Lesion Network Mapping and Machine Learning

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu, Qi Wang, Suhui Kuang, Dezhi Cao, Ping Ding, Shaohui Zhang, Haihua Wei, Zhirong Wei, Jinshan Xu, Xinyu Huang, Bing Liu, Shuli Liang   +11 more
wiley   +1 more source

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang, Yixiu Pei, Xiaobao Hu, Ying Xiong, Fang Wang, Yanyan Yu, Min Zhu, Dandan Tan, Meihong Zhou, Daojun Hong, Fuqing Zhou   +10 more
wiley   +1 more source

Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces

Journal of Function Spaces, 2021
In this paper, we establish weak and strong convergence theorems for mean nonexpansive maps in Banach spaces under the Picard–Mann hybrid iteration process.
Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel de la Sen   +3 more
doaj   +1 more source

Epilepsy‐Associated Variants of a Single SCN1A Codon Exhibit Divergent Functional Properties

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Pathogenic variants in SCN1A, which encodes the voltage‐gated sodium channel NaV1.1, are associated with multiple epilepsy syndromes exhibiting a range of clinical severity. SCN1A variants are reported in different syndromes, including Dravet syndrome, which is associated with loss‐of‐function, whereas neonatal/infantile‐onset ...
Lanie N. Liebovitz, Christopher H. Thompson, Linda C. Laux, Alfred L. George Jr.   +3 more
wiley   +1 more source

A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations"

Journal of Numerical Analysis and Approximation Theory, 2004
In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.
Ştefan M. Şoltuz
doaj   +2 more sources

Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

IEEE Access, 2020
The purpose of this paper is to introduce the Mandelbrot and Julia sets by using Picard-Mann iteration procedure. Escape criteria is established which plays an important role to generate Mandelbrot and Julia sets.
Cui Zou, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan, Maqbool Ahmad   +4 more
doaj   +1 more source

Forcing Strong Convergence of a Mann-Based Iteration for Nonexpansive and Monotone Operators in a Hilbert Space

Journal of Mathematics, 2022
Mann iteration is weakly convergent in infinite dimensional spaces. We, in this paper, use the nearest point projection to force the strong convergence of a Mann-based iteration for nonexpansive and monotone operators.
Songtao Lv
doaj   +1 more source