Results 41 to 50 of about 17,865 (205)

Stable Iteration Procedures in Metric Spaces which Generalize a Picard-Type Iteration [PDF]

Fixed Point Theory and Applications, 2010
AbstractThis paper investigates the stability of iteration procedures defined by continuous functions acting on self-maps in continuous metric spaces. Some of the obtained results extend the contraction principle to the use of altering-distance functions and extended altering-distance functions, the last ones being piecewise continuous.
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Generation of Antifractals via Hybrid Picard-Mann Iteration [PDF]

IEEE Access, 2020
El objetivo de este artículo es generar antifractales utilizando algoritmos iterativos de punto fijo, es decir, nuestro objetivo es generar conjuntos anti Julia, tricornios y multicornios para el antipolinomio → z z k +c del polinomio complejo z k +c, para k ≥ 2. Un procedimiento iterativo híbrido de Picard-Mann utilizado para establecer el criterio de
Wei Wang, Xiaohui Hu, Abdul Aziz Shahid, Mingye Wang   +3 more
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Dysregulation of the PATZ1/CTCF Balance Silences ZBTB20 to Drive Melanoma Progression

Advanced Science, EarlyView.
This study uncovers a new oncogenic mechanism in melanoma. The transcription factor PATZ1 competes with the architectural protein CTCF for DNA binding, thereby disrupting a specific chromatin loop and silencing the tumor suppressor ZBTB20. This event unleashes the pro‐tumorigenic PMEPA1‐p38‐STAT1 signaling axis, promoting cancer progression.
Chaowei Deng, Shuang Cai, Chen Guo, Shaker Khan, Lefan Liu, Qiong Tian, Zhiyuan Ma, Jian Zhang, Lingyu Zhao   +8 more
wiley   +1 more source

Comparison of numerical methods for the solution of Richards' equation in layered porous media [PDF]

Numerical Methods in Civil Engineering
In this research, the advanced finite volume scheme of the Dual Discrete method has been used for the numerical modeling of Richards' equation. Three forms of Richards' equation, including head form, water content form, and mixed form with a modified ...
Roza Asadi, Zahra Zamani Aliabadi
doaj   +1 more source

Efficient First Order Methods for Linear Composite Regularizers [PDF]

, 2011
A wide class of regularization problems in machine learning and statistics employ a regularization term which is obtained by composing a simple convex function \omega with a linear transformation.
Argyriou, Andreas, Micchelli, Charles A., Pontil, Massimiliano, Shen, Lixin, Xu, Yuesheng   +4 more
core   +3 more sources

On Picard–Krasnoselskii Hybrid Iteration Process in Banach Spaces

Journal of Mathematics, 2020
In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process. Using a numerical example, we prove that the Picard–Krasnoselskii hybrid iteration process converges faster than both of ...
Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad   +2 more
openaire   +3 more sources

DNA Replication Errors Drive Genome‐Wide Small Inverted Triplication Dynamics

Advanced Science, EarlyView.
This study provides insight into the dynamic equilibrium mechanism of a novel structural variant, small inverted triplication (SIT), which is generated by misalignment of the 3’ flap generated under DNA replication stress with palindromic sequence. Alternatively, the end sequence may fold back on itself to form an inverted fragment.
Yi Lei, Yu Zhou, Haitao Sun, Hang Yuan, Xinyu Pei, Jessica D. Hess, Yao Yan, Zunsong Hu, Mian Zhou, Zhaohui Gu, Li Zheng, Xiwei Wu, Binghui Shen   +12 more
wiley   +1 more source

Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 $q > 1$ with finite delays

Advances in Difference Equations, 2017
This paper is concerned with stochastic differential equations of fractional-order q ∈ ( m − 1 , m ) $q \in(m-1, m)$ (where m ∈ Z $m \in \mathbb{Z}$ and m ≥ 2 $m \geq 2$ ) with finite delay at a space B C ( [ − τ , 0 ] ; R d ) $BC ( [ - \tau, 0];R^{d} )$
Xianmin Zhang, Praveen Agarwal, Zuohua Liu, Hui Peng, Fang You, Yajun Zhu   +5 more
doaj   +1 more source

New Identification Approach and Methods for Plasma Equilibrium Reconstruction in D-Shaped Tokamaks

Mathematics, 2021
The paper deals with the identification of plasma equilibrium reconstruction in D-shaped tokamaks on the base of plasma external magnetic measurements.
Yuri V. Mitrishkin, Pavel S. Korenev, Artem E. Konkov, Valerii I. Kruzhkov, Nicolai E. Ovsiannikov   +4 more
doaj   +1 more source

Multi‐Omics Insights Into the Mechanisms of Early Muscle Fiber Difference and Transformation Between Lean‐Type and Chinese Indigenous Pigs

Advanced Science, EarlyView.
Multi‐omics analyses uncover breed‐specific cis‐regulatory landscapes and higher‐order chromatin architectural differences that underlie early postnatal muscle fiber divergence in pigs. A super‐enhancer upstream of PPP3CB recruits MEF2C to activate PPP3CB transcription, while the PPP3CB–MEF2C positive feedback loop promotes oxidative muscle fiber ...
Shuailong Zheng, Hainan Wu, Min Liu, Kunpeng Wu, Shuntao Huang, Zulfiqar Ahmed, Lenox Pius, Mengjin Zhu, Dequan Xu   +8 more
wiley   +1 more source