Results 21 to 30 of about 8,281 (252)

Inertial Krasnoselskii-Mann Iterations

Set-Valued and Variational Analysis
AbstractWe establish the weak convergence of inertial Krasnoselskii-Mann iterations towards a common fixed point of a family of quasi-nonexpansive operators, along with estimates for the non-asymptotic rate at which the residuals vanish. Strong and linear convergence are obtained in the quasi-contractive setting.
Juan José Maulén, Ignacio Fierro, Juan Peypouquet   +2 more
openaire   +3 more sources

Krasnoselskii–Mann Iterations: Inertia, Perturbations and Approximation

Journal of Optimization Theory and Applications
Abstract This paper is concerned with the study of a family of fixed point iterations combining relaxation with different inertial (acceleration) principles. We provide a systematic, unified and insightful analysis of the hypotheses that ensure their weak, strong and linear convergence, either matching or improving previous results obtained ...
Daniel Cortild, Juan Peypouquet
openaire   +4 more sources

Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces

Fixed Point Theory and Applications, 2007
Let E be an arbitrary real Banach space and K a nonempty, closed, convex (not necessarily bounded) subset of E. If T is a member of the class of Lipschitz, strongly pseudocontractive maps with Lipschitz constant L≥1, then it is shown that to each ...
K. N. V. V. Vara Prasad, G. V. R. Babu
doaj   +1 more source

Uniform asymptotic regularity for Mann iterates

Journal of Mathematical Analysis and Applications, 2002
In a previous paper we obtained an effective quantitative analysis of a theorem due to Borwein, Reich and Shafrir on the asymptotic behavior of general Krasnoselski-Mann iterations for nonexpansive self-mappings of convex sets C in arbitrary normed spaces.
openaire   +2 more sources

Plecstatin inhibits hepatocellular carcinoma tumorigenesis and invasion through cytolinker plectin

Molecular Oncology, EarlyView.
The ruthenium‐based metallodrug plecstatin exerts its anticancer effect in hepatocellular carcinoma (HCC) primarily through selective targeting of plectin. By disrupting plectin‐mediated cytoskeletal organization, plecstatin inhibits anchorage‐dependent growth, cell polarization, and tumor cell dissemination.
Zuzana Outla, Jan Kosla, Magdalena Prechova, Lukas Frick, Patricia Bortel, Yasmin Borutzki, Andrea Bileck, Christopher Gerner, Samuel M. Meier‐Menches, Selma Osmanagic‐Myers, Martin Gregor   +10 more
wiley   +1 more source

Random Mann iteration scheme

Applied Mathematics Letters, 2003
The author, extending his own results [\textit{B. S. Choudhury} and \textit{M. Ray}, J. Appl. Math. Stochastic Anal. 12, 161--168 (1999; Zbl 0930.47031) and \textit{B. S. Choudhury} and \textit{A. Upadhyay}, Soochow J. Math. 25, 395--400 (1999; Zbl 0946.47046)], introduces a random fixed point iteration that is a random Mann iteration scheme and shows ...
openaire   +2 more sources

COMP–PMEPA1 axis promotes epithelial‐to‐mesenchymal transition in breast cancer cells

Molecular Oncology, EarlyView.
This study reveals that cartilage oligomeric matrix protein (COMP) promotes epithelial‐to‐mesenchymal transition (EMT) in breast cancer. We identify PMEPA1 (protein TMEPAI) as a novel COMP‐binding partner that mediates EMT via binding to the TSP domains of COMP, establishing the COMP–PMEPA1 axis as a key EMT driver in breast cancer.
Konstantinos S. Papadakos, Gilar Gorji‐bahri, Lejla Gradjan, Julia Zajac, Kacper Gil, Yvonne Thokozile Nduku, Anna M. Blom   +6 more
wiley   +1 more source

Automated FRAP microscopy for high‐throughput analysis of protein dynamics in chromatin organization and transcription

FEBS Open Bio, EarlyView.
RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz, Bart Geverts, Johan A. Slotman, Andrea Sacchetti, Stefan Prekovic, Martin E. van Royen, Adriaan B. Houtsmuller   +6 more
wiley   +1 more source

Several Fixed Point Theorems in Convex b-Metric Spaces and Applications

Mathematics, 2020
Our paper is devoted to indicating a way of generalizing Mann’s iteration algorithm and a series of fixed point results in the framework of b-metric spaces.
Lili Chen, Chaobo Li, Radoslaw Kaczmarek, Yanfeng Zhao   +3 more
doaj   +1 more source

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon, Nathalie Picard, Valeria d'Andrea, Enchi Chang, Joseph Leffler, Eleonora Centofante, Matthew Taylor, Francesca Bardi, Francesca Cavicchiolo, Takao K. Hensch, Stefano Panzeri, Chinfei Chen, Michela Fagiolini   +12 more
wiley   +1 more source