Results 41 to 50 of about 6,565 (158)
From a Dieudonne theorem concerning the Cauchy problem to an open problem in the theory of weakly Picard operators [PDF]
Let (X, d) be a complete metric space and let f : X → X be a self operator. In this paper we study the following two problems: Problem 1. Let f be such that its fixed points set is a singleton, i.e., Ff = {x∗}. Under which conditions the next implication does hold: f is asymptotically regular ⇒ f is a Picard operator? Problem 2.
Berinde, Vasile +2 more
openaire +2 more sources
This research deciphers the m6A transcriptome by profiling its sites and functional readout effects: from mRNA stability, translation to alternative splicing, across five different cell types. Machine learning model identifies novel m6A‐binding proteins DDX6 and FXR2 and novel m6A reader proteins FUBP3 and L1TD1.
Zhou Huang +11 more
wiley +1 more source
On the convergence of Lupaş (p,q) $(p,q)$-Bernstein operators via contraction principle
The present paper deals with the limit behavior of iterates of Lupaş q- and (p,q) $(p,q)$-Bernstein operators. We obtain the convergence for Lupaş q- and (p,q) $(p,q)$-Bernstein operators by using the contraction principle.
Haifa Bin Jebreen +2 more
doaj +1 more source
An Entourage Approach to the Contraction Principle in Uniform Spaces Endowed with a Graph [PDF]
In this paper, we study Banach contractions in uniform spaces endowed with a graph and give some sufficient conditions for a mapping to be a Picard operator. Our main results generalize some results of [J.
Aghanians, A., Fallahi, K., Nourouzi, K.
core
Abstract We analyze the effect of regulatory capital constraints on financial stability in a large homogeneous banking system using a mean‐field game (MFG) model. Each bank holds cash and a tradable risky asset. Banks choose absolutely continuous trading rates in order to maximize expected terminal equity, with trades subject to transaction costs ...
Rüdiger Frey, Theresa Traxler
wiley +1 more source
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
Ulam Stability for Partial Fractional Differential Inclusions via Picard Operators Theory
In the present paper, we investigate, using the Picard operator technique, some existence and Ulam type stability results for the Darboux problem associated to some partial fractional order differential inclusions.
Said Abbas +2 more
doaj +1 more source
ABSTRACT Bark beetles are small insects that inhabit the bark of trees. When their population increases excessively, they can weaken the trees and cause their death. In México, federal regulations obligate forest landowners to carry out sanitary logging to control bark beetle outbreaks in adherence to official procedures.
Erika Gómez‐Pineda +3 more
wiley +1 more source
Some new fixed point results for multi-valued weakly Picard operators
In this paper, we present some extensions of Banach contraction principle for multi-valued maps. Corresponding convergence theorems for the Picard iteration associated to a class of multi-valued operators are obtained in the setting of modular metric spaces.
Aydi, Hassen +3 more
openaire +2 more sources
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source

