Results 101 to 110 of about 6,713,503 (368)

Function valued metric spaces [PDF]

open access: yesSurveys in Mathematics and its Applications, 2010
In this paper we introduce the notion of an ℱ-metric, as a function valued distance mapping, on a set X and we investigate the theory of ℱ-metrics paces.
Madjid Mirzavaziri
doaj  

Some results for multivalued mappings in extended fuzzy b-metric spaces

open access: yesAIMS Mathematics, 2023
In this paper, some fixed point results for multivalued contractions are established in setting G-complete extended fuzzy b-metric spaces. An example is furnished to demonstrate the validity of results.
Samina Batul   +4 more
doaj   +1 more source

Optimal classifier for imbalanced data using Matthews Correlation Coefficient metric

open access: yesPLoS ONE, 2017
Data imbalance is frequently encountered in biomedical applications. Resampling techniques can be used in binary classification to tackle this issue.
Sabri Boughorbel   +2 more
semanticscholar   +1 more source

Circulating histones as clinical biomarkers in critically ill conditions

open access: yesFEBS Letters, EarlyView.
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez   +17 more
wiley   +1 more source

The epithelial barrier theory proposes a comprehensive explanation for the origins of allergic and other chronic noncommunicable diseases

open access: yesFEBS Letters, EarlyView.
Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu   +17 more
wiley   +1 more source

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

open access: yesFixed Point Theory and Applications, 2008
We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well ...
Fadi Awawdeh   +2 more
doaj   +1 more source

A new extension to the controlled metric type spaces endowed with a graph

open access: yesAdvances in Difference Equations, 2021
In this paper, we initiate a new extension of b-metric spaces, called controlled metric-like spaces, by changing the condition [ ℘ ( s , r ) = 0 ⇔ s = r ] by  [ ℘ ( s , r ) = 0 ⇒ s = r ] $$ \bigl[\wp (s,r)=0 \Leftrightarrow s=r\bigr]\quad \text{by ...
Nabil Mlaiki   +3 more
doaj   +1 more source

Multiembedding of Metric Spaces [PDF]

open access: yesSIAM Journal on Computing, 2004
Metric embedding has become a common technique in the design of algorithms. Its applicability is often dependent on how high the embedding's distortion is. For example, embedding finite metric space into trees may require linear distortion as a function of its size.
Manor Mendel, Yair Bartal
openaire   +3 more sources

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

open access: yesFEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan   +2 more
wiley   +1 more source

A COMPLETION THEOREM FOR COMPLEX VALUED S-METRIC SPACE

open access: yesBarekeng
Any complex valued S-metric space where each Cauchy sequence converges to a point in this space is said to be complete. However, there are complex valued S-metric spaces that are incomplete but can be completed.
Mariatul Kiftiah   +3 more
doaj   +1 more source

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