Results 71 to 80 of about 429,862 (310)

An inertial parallel algorithm for a finite family of G-nonexpansive mappings with application to the diffusion problem

Advances in Difference Equations, 2021
For finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak convergence theorem of this algorithm in Hilbert
Phakdi Charoensawan, Damrongsak Yambangwai, Watcharaporn Cholamjiak, Raweerote Suparatulatorn   +3 more
doaj   +1 more source

Parallel synchronous algorithm for nonlinear fixed point problems [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the Euclidian norm in ℝn. We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, and convex programming.
ADDOU, AHMED, BENAHMED, ABDENASSER
openaire   +5 more sources

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei, Fredrik Orädd, Konstantinos Magkakis, Magnus Andersson   +3 more
wiley   +1 more source

Applicability of mitotic figure counting by deep learning: a development and pan‐cancer validation study

FEBS Open Bio, EarlyView.
In this study, we developed a deep learning method for mitotic figure counting in H&E‐stained whole‐slide images and evaluated its prognostic impact in 13 external validation cohorts from seven different cancer types. Patients with more mitotic figures per mm2 had significantly worse patient outcome in all the studied cancer types except colorectal ...
Joakim Kalsnes, Maria X. Isaksen, Frida Julbø, Manohar Pradhan, Andreas Kleppe, Sepp De Raedt, Ole‐Johan Skrede, Turid Torheim, John Arne Nesheim, Hans Martin Mohn, Hanne A. Askautrud, Karolina Cyll, Wanja Kildal, Emma Rewcastle, Melinda Lillesand, Vebjørn Kvikstad, Emiel Janssen, Robert Jones, Odd Terje Brustugun, Bjørn Brennhovd, Erik Skaaheim Haug, Lill‐Tove Rasmussen Busund, Elin Richardsen, Sigve Andersen, Tom Dønnem, Kristina Lindemann, Gunnar Kristensen, Neil A. Shepherd, Marco Novelli, Knut Liestøl, David Kerr, Håvard E. Danielsen, Tarjei S. Hveem   +32 more
wiley   +1 more source

An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems [PDF]

Fixed Point Theory and Applications, 2009
AbstractThe purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose an extragradient method for solving the mixed equilibrium problems and the fixed point problems.
Liou Yeong-Cheng, Wu Yuh-Jenn, Yao Yonghong   +2 more
openaire   +3 more sources

Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies

FEBS Open Bio, EarlyView.
We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli, Mohammad Nour Alsamsam, Ugnė Bagdonaitė, Van Truc Vu, Chun‐Jen Huang, Polina Kuzhir, Mindaugas Zaremba, Aurimas Kopūstas, Marijonas Tutkus   +8 more
wiley   +1 more source

The plane fixed point problem

, 2008
In this paper we present proofs of basic results, including those developed so far by H. Bell, for the plane fixed point problem. Some of these results had been announced much earlier by Bell but without accessible proofs. We define the concept of the variation of a map on a simple closed curve and relate it to the index of the map on that curve: Index
Fokkink, Robbert J., Mayer, John C., Oversteegen, Lex G., Tymchatyn, E. D.   +3 more
openaire   +2 more sources

An Extragradient Method for Fixed Point Problems and Variational Inequality Problems [PDF]

Journal of Inequalities and Applications, 2007
An extragradient method is presented for the fixed point problems and variational inequality problems. A common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for a monotone mapping is found using the considered method.
Yonghong Yao, Jen-Chih Yao, Yeong-Cheng Liou   +2 more
openaire   +3 more sources

Existence Of A Unique Mild Solution To A Fractional Thermostat Model Via A Rus'S Fixed Point Theorem

The purpose of this paper is to study the existence of a unique solution of a nonlinear fractional boundary value problem which can be considered as the fractional version of the thermostat model.
Lopez, B., Sadarangani, K., Harjani, J.
core   +1 more source

A fixed point approach to the semi-linear Stokes problem

, 2023
The aim of this paper is to study the Dirichlet problem for semi-linear Stokes equations. The approach of this study is based on the operator method, using abstract results of nonlinear functional analysis.
BRUMAR , David
core   +1 more source