Results 41 to 50 of about 1,757,856 (287)

Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces

Fixed Point Theory and Applications, 2009
We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
doaj   +2 more sources

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Some fixed point theorems for contractive multivalued mappings in Menger probabilistic metric like spaces

پژوهش‌های ریاضی, 2021
In this paper,  first by using the constructions of probabilistic b-metric Menger space and probabilistic metric like Menger space,  we introduce probabilistic b-metric like Menger space and present some examples of it.
Mahnaz Khanehgir, Reza Allahyari
doaj  

A note on φ-contractions in probabilistic and fuzzy metric spaces [PDF]

Fuzzy Sets and Systems, 2017
[EN] In a recent paper Fang (2015) [1], J.X. Fang generalized a crucial fixed point theorem for probabilistic phi-contractions on complete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually Fang s theorem is an easy consequence of Jachymski s theorem. We also observe that the proof of a fixed point theorem for complete metric
Carmen Alegre, Salvador Romaguera
openaire   +3 more sources

On the probabilistic min spanning tree Problem [PDF]

, 2010
International audienceWe study a probabilistic optimization model for min spanning tree, where any vertex v i of the input-graph G(V, E) has some presence probability p i in the final instance G′ ⊂ G that will effectively be optimized.
Paschos, V.T., V. T. Paschos, Cécile Murat, Nicolas Boria, MURAT, Cécile, C. Murat, Vangelis Th Paschos, Vangelis Paschos, Paschos, Vangelis, Boria, Nicolas, Murat, C.   +10 more
core   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source

Coupled Fixed Point Theory over Quantale-Valued Quasi-Metric Spaces (QVQMS) with Applications in Generalized Metric Structures

Axioms
In this study, we establish several coupled fixed point results in quantale-valued quasi-metric spaces (QVQMSs), which constitutes a generalization of metric and probabilistic metric spaces. The obtained results will be illustrated with concrete examples.
Irem Eroğlu
doaj   +1 more source

Some fixed point results in Menger spaces using a control function [PDF]

Surveys in Mathematics and its Applications, 2009
Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math.
Krishnapada Das, Binayak S. Choudhury, P.N. Dutta   +2 more
doaj  

Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology

Journal of Inequalities and Applications, 2021
In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
doaj   +1 more source