Results 21 to 30 of about 1,094,169 (129)
A regular Lindelöf semimetric space which has no countable network [PDF]
Proceedings of the American Mathematical Society, 1970 A completely regular semimetric space M M is constructed which has no
E. S. Berney
openaire +2 more sources
Journal of Mathematical SciencesThis paper advances a line of research in fixed point theory initiated by M. Bessenyei and Z. P\'ales, building on their introduction of the triangle function concept in [J. Nonlinear Convex Anal, Vol 18 (3), 515--524 (2017)]. By applying this concept, the study revises several well-known fixed point theorems in metric spaces, extending their ...
Ravindra K Bisht
exaly +3 more sources
On Functions Preserving Products of Certain Classes of Semimetric Spaces [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In the paper, we continue the research of Borsík and Doboš on functions which allow us to introduce a metric to the product of metric spaces. We extend their scope to a broader class of spaces which usually fail to satisfy the triangle inequality, albeit they tend to satisfy some weaker form of this axiom.
Lichman, Mateusz +2 more
openaire +5 more sources
Contingency Space: A Semimetric Space for Classification Evaluation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023 In Machine Learning, a supervised model's performance is measured using the evaluation metrics. In this study, we first present our motivation by revisiting the major limitations of these metrics, namely one-dimensionality, lack of context, lack of intuitiveness, uncomparability, binary restriction, and uncustomizability of metrics.
Azim Ahmadzadeh +3 more
openaire +3 more sources
Ultrametrics and Complete Multipartite Graphs
Theory and Applications of Graphs, 2022 Let \((X, d)\) be a semimetric space and let \(G\) be a graph. We say that \(G\) is the diametrical graph of \((X, d)\) if \(X\) is the vertex set of \(G\) and the adjacency of vertices \(x\) and \(y\) is equivalent to the equality \(\diam X = d(x, y)\).
Viktoriia Viktorivna Bilet +2 more
doaj +1 more source
Axioms, 2022 Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions.
Hsien-Chung Wu
doaj +1 more source
Axioms, 2021 This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are
Hsien-Chung Wu
doaj +1 more source
Multivariate functional data clustering using adaptive density peak detection
Statistics in Medicine, Volume 42, Issue 10, Page 1565-1582, 10 May 2023., 2023 Clustering for multivariate functional data is a challenging problem since the data are represented by a set of curves and functions belonging to an infinite‐dimensional space. In this article, we propose a novel clustering method for multivariate functional data using an adaptive density peak detection technique.
Rui Ren +3 more
wiley +1 more source
Stability of Set Differential Equations in Fréchet Spaces
Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 In this paper, we investigate the stability of set differential equations in Fréchet space F. Some comparison principles and stability criteria are established for set differential equations with the fact that every Fréchet space F is a projective limit of Banach spaces.
Junyan Bao +3 more
wiley +1 more source
Forged Video Detection Using Deep Learning: A SLR
Applied Computational Intelligence and Soft Computing, Volume 2023, Issue 1, 2023., 2023 In today’s digital landscape, video and image data have emerged as pivotal and widely adopted means of communication. They serve not only as a ubiquitous mode of conveying information but also as indispensable evidential and substantiating elements across diverse domains, encompassing law enforcement, forensic investigations, media, and numerous others.
Maryam Munawar +4 more
wiley +1 more source