The Method of Monotone Iterations for Mixed Monotone Operators in Partially Ordered Sets and Order-Attractive Fixed Points [PDF]
We use the method of monotone iterations to obtain fixed point and coupled fixed point results for mixed monotone operators in the setting of partially ordered sets, with no additional assumptions on the partial order and with no convergence structure. We define the concept of attractive fixed point with respect to the partial order and obtain several ...
arxiv
The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
Let H be a real Hilbert space and C⊂H a closed convex subset. Let T:C→C be a nonexpansive mapping with the nonempty set of fixed points Fix(T). Kim and Xu (2005) introduced a modified Mann iteration x0=x∈C, yn=αnxn+(1−αn)Txn, xn+1=βnu+(1−βn)yn, where u∈C
Songnian He, Wenlong Zhu
doaj +1 more source
Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points [PDF]
We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced.
arxiv
Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source
The Saccharomyces cerevisiae amino acid transporter Lyp1 has a broad substrate spectrum
In Saccharomyces cerevisiae, Yeast Amino acid Transporter family members mediate the import of amino acids, ranging from substrate specialists to generalists. Here, we show that the specialist transporter, Lyp1, has a broader substrate spectrum than previously described, with affinity constants spanning from micromolar to millimolar.
Foteini Karapanagioti+3 more
wiley +1 more source
Note on the stability of first order linear differential equations [PDF]
In this paper, we will prove the generalized Hyers-Ulam stability of the linear differential equation of the form \(y'(x)+f(x)y(x)+g(x)=0\) under some additional conditions.
Florin Bojor
doaj +1 more source
Social context prevents heat hormetic effects against mutagens during fish development
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere+5 more
wiley +1 more source
A Novel Method for Image Integrity Authentication Based on Fixed Point Theory [PDF]
Based on fixed point theory, this paper proposes a simple but efficient method for image integrity authentication, which is different from Digital Signature and Fragile Watermarking. By this method, any given image can be transformed into a fixed point of a well-chosen function, which can be constructed with periodic functions.
arxiv
Viscosity Approximation Methods for Fixed-Points Problems
The aim of this work is to propose viscosity approximation methods which amounts to selecting a particular fixed-point of a given nonexpansive self-mapping.
openaire +3 more sources